Predicts kinematic from known MSS and MAC parameters
Usage
predict_velocity_at_time(time, MSS, MAC)
predict_distance_at_time(time, MSS, MAC)
predict_acceleration_at_time(time, MSS, MAC)
predict_time_at_distance(distance, MSS, MAC)
predict_time_at_distance_FV(
distance,
F0,
V0,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_velocity_at_distance(distance, MSS, MAC)
predict_acceleration_at_distance(distance, MSS, MAC)
predict_acceleration_at_velocity(velocity, MSS, MAC)
predict_air_resistance_at_time(time, MSS, MAC, ...)
predict_air_resistance_at_distance(distance, MSS, MAC, ...)
predict_force_at_velocity(
velocity,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_force_at_time(
time,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_force_at_distance(
distance,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_power_at_distance(
distance,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_power_at_time(
time,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_relative_power_at_distance(
distance,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_relative_power_at_time(
time,
MSS,
MAC,
bodymass = 75,
inertia = 0,
resistance = 0,
...
)
predict_work_till_time(time, ...)
predict_work_till_distance(distance, ...)
predict_kinematics(
object = NULL,
MSS,
MAC,
max_time = 6,
frequency = 100,
bodymass = 75,
inertia = 0,
resistance = 0,
add_inertia_to_vertical = TRUE,
...
)Arguments
- time, distance, velocity
Numeric vectors
- MSS, MAC
Numeric vectors. Model parameters
- F0, V0
Numeric vectors. FV profile parameters
- bodymass
Body mass in kg. Used to calculate relative power and forwarded to
get_air_resistance- inertia
External inertia in kg (for example a weight vest, or a sled). Not included in the air resistance calculation
- resistance
External horizontal resistance in Newtons (for example tether device or a sled friction resistance)
- ...
Arguments passed on to
get_air_resistancebodyheightIn meters (m). Default is 1.75m
barometric_pressureIn Torrs. Default is 760Torrs
air_temperatureIn Celzius (C). Default is 25C
wind_velocityIn meters per second (m/s). Use negative number as head wind, and positive number as back wind. Default is 0m/s (no wind)
- object
If
shorts_modelobject is provided, estimated parameters will be used. Otherwise provideMSSandMACparameters- max_time
Predict from 0 to
max_time. Default is 6seconds- frequency
Number of samples within one second. Default is 100Hz
- add_inertia_to_vertical
Should inertia be added to
bodymasswhen calculating vertical force? UseTRUE(Default) when using weight vest, andFALSEwhen dragging sled
References
Haugen TA, Tønnessen E, Seiler SK. 2012. The Difference Is in the Start: Impact of Timing and Start Procedure on Sprint Running Performance: Journal of Strength and Conditioning Research 26:473–479. DOI: 10.1519/JSC.0b013e318226030b.
Jovanović, M., Vescovi, J.D. (2020). shorts: An R Package for Modeling Short Sprints. Preprint available at SportRxiv. https://doi.org/10.31236/osf.io/4jw62
Samozino P. 2018. A Simple Method for Measuring Force, Velocity and Power Capabilities and Mechanical Effectiveness During Sprint Running. In: Morin J-B, Samozino P eds. Biomechanics of Training and Testing. Cham: Springer International Publishing, 237–267. DOI: 10.1007/978-3-319-05633-3_11.
Examples
MSS <- 8
MAC <- 9
time_seq <- seq(0, 6, length.out = 10)
df <- data.frame(
time = time_seq,
distance_at_time = predict_distance_at_time(time_seq, MSS, MAC),
velocity_at_time = predict_velocity_at_time(time_seq, MSS, MAC),
acceleration_at_time = predict_acceleration_at_time(time_seq, MSS, MAC)
)
df$time_at_distance <- predict_time_at_distance(df$distance_at_time, MSS, MAC)
df$velocity_at_distance <- predict_velocity_at_distance(df$distance_at_time, MSS, MAC)
df$acceleration_at_distance <- predict_acceleration_at_distance(df$distance_at_time, MSS, MAC)
df$acceleration_at_velocity <- predict_acceleration_at_velocity(df$velocity_at_time, MSS, MAC)
# Power calculation uses shorts::get_air_resistance function and its defaults
# values to calculate power. Use the ... to setup your own parameters for power
# calculations
df$power_at_time <- predict_power_at_time(
time = df$time, MSS = MSS, MAC = MAC,
# Check shorts::get_air_resistance for available params
bodymass = 100, bodyheight = 1.85
)
df
#> time distance_at_time velocity_at_time acceleration_at_time
#> 1 0.0000000 0.000000 0.000000 9.00000000
#> 2 0.6666667 1.581273 4.221068 4.25129897
#> 3 1.3333333 5.142259 6.214959 2.00817144
#> 4 2.0000000 9.638394 7.156806 0.94859302
#> 5 2.6666667 14.576264 7.601703 0.44808362
#> 6 3.3333333 19.722793 7.811858 0.21165971
#> 7 4.0000000 24.967886 7.911128 0.09998097
#> 8 4.6666667 30.259538 7.958020 0.04722767
#> 9 5.3333333 35.573182 7.980170 0.02230877
#> 10 6.0000000 40.897215 7.990633 0.01053792
#> time_at_distance velocity_at_distance acceleration_at_distance
#> 1 0.0000000 0.000000 9.00000000
#> 2 0.6666667 4.221068 4.25129897
#> 3 1.3333333 6.214959 2.00817144
#> 4 2.0000000 7.156806 0.94859302
#> 5 2.6666667 7.601703 0.44808362
#> 6 3.3333333 7.811858 0.21165971
#> 7 4.0000000 7.911128 0.09998097
#> 8 4.6666667 7.958020 0.04722767
#> 9 5.3333333 7.980170 0.02230877
#> 10 6.0000000 7.990633 0.01053792
#> acceleration_at_velocity power_at_time
#> 1 9.00000000 0.0000
#> 2 4.25129897 1818.3818
#> 3 2.00817144 1324.2919
#> 4 0.94859302 795.2812
#> 5 0.44808362 480.0949
#> 6 0.21165971 316.7110
#> 7 0.09998097 236.3057
#> 8 0.04722767 197.6055
#> 9 0.02230877 179.1643
#> 10 0.01053792 170.4175
# Example for predict_kinematics
split_times <- data.frame(
distance = c(5, 10, 20, 30, 35),
time = c(1.20, 1.96, 3.36, 4.71, 5.35)
)
# Simple model
simple_model <- with(
split_times,
model_timing_gates(distance, time)
)
predict_kinematics(simple_model)
#> time distance velocity acceleration bodymass inertia resistance
#> 1 0.00 0.000000e+00 0.0000000 1.159360e+01 75 0 0
#> 2 0.01 5.766621e-04 0.1150318 1.141323e+01 75 0 0
#> 3 0.02 2.294670e-03 0.2282739 1.123566e+01 75 0 0
#> 4 0.03 5.136268e-03 0.3397542 1.106086e+01 75 0 0
#> 5 0.04 9.083973e-03 0.4495001 1.088877e+01 75 0 0
#> 6 0.05 1.412058e-02 0.5575386 1.071937e+01 75 0 0
#> 7 0.06 2.022914e-02 0.6638962 1.055259e+01 75 0 0
#> 8 0.07 2.739299e-02 0.7685991 1.038842e+01 75 0 0
#> 9 0.08 3.559570e-02 0.8716731 1.022679e+01 75 0 0
#> 10 0.09 4.482110e-02 0.9731434 1.006769e+01 75 0 0
#> 11 0.10 5.505330e-02 1.0730350 9.911052e+00 75 0 0
#> 12 0.11 6.627662e-02 1.1713725 9.756856e+00 75 0 0
#> 13 0.12 7.847565e-02 1.2681801 9.605059e+00 75 0 0
#> 14 0.13 9.163521e-02 1.3634816 9.455624e+00 75 0 0
#> 15 0.14 1.057403e-01 1.4573004 9.308514e+00 75 0 0
#> 16 0.15 1.207763e-01 1.5496595 9.163692e+00 75 0 0
#> 17 0.16 1.367287e-01 1.6405817 9.021123e+00 75 0 0
#> 18 0.17 1.535833e-01 1.7300894 8.880773e+00 75 0 0
#> 19 0.18 1.713259e-01 1.8182044 8.742606e+00 75 0 0
#> 20 0.19 1.899428e-01 1.9049486 8.606589e+00 75 0 0
#> 21 0.20 2.094204e-01 1.9903433 8.472687e+00 75 0 0
#> 22 0.21 2.297452e-01 2.0744093 8.340869e+00 75 0 0
#> 23 0.22 2.509042e-01 2.1571675 8.211102e+00 75 0 0
#> 24 0.23 2.728843e-01 2.2386381 8.083354e+00 75 0 0
#> 25 0.24 2.956727e-01 2.3188412 7.957593e+00 75 0 0
#> 26 0.25 3.192569e-01 2.3977965 7.833789e+00 75 0 0
#> 27 0.26 3.436246e-01 2.4755234 7.711911e+00 75 0 0
#> 28 0.27 3.687634e-01 2.5520410 7.591930e+00 75 0 0
#> 29 0.28 3.946614e-01 2.6273682 7.473815e+00 75 0 0
#> 30 0.29 4.213068e-01 2.7015235 7.357537e+00 75 0 0
#> 31 0.30 4.486880e-01 2.7745250 7.243069e+00 75 0 0
#> 32 0.31 4.767936e-01 2.8463908 7.130381e+00 75 0 0
#> 33 0.32 5.056121e-01 2.9171385 7.019447e+00 75 0 0
#> 34 0.33 5.351327e-01 2.9867855 6.910238e+00 75 0 0
#> 35 0.34 5.653442e-01 3.0553489 6.802729e+00 75 0 0
#> 36 0.35 5.962361e-01 3.1228456 6.696892e+00 75 0 0
#> 37 0.36 6.277976e-01 3.1892922 6.592702e+00 75 0 0
#> 38 0.37 6.600185e-01 3.2547051 6.490133e+00 75 0 0
#> 39 0.38 6.928883e-01 3.3191002 6.389159e+00 75 0 0
#> 40 0.39 7.263971e-01 3.3824935 6.289757e+00 75 0 0
#> 41 0.40 7.605349e-01 3.4449005 6.191901e+00 75 0 0
#> 42 0.41 7.952919e-01 3.5063366 6.095568e+00 75 0 0
#> 43 0.42 8.306585e-01 3.5668168 6.000733e+00 75 0 0
#> 44 0.43 8.666251e-01 3.6263562 5.907374e+00 75 0 0
#> 45 0.44 9.031825e-01 3.6849692 5.815467e+00 75 0 0
#> 46 0.45 9.403215e-01 3.7426703 5.724990e+00 75 0 0
#> 47 0.46 9.780329e-01 3.7994736 5.635921e+00 75 0 0
#> 48 0.47 1.016308e+00 3.8553933 5.548237e+00 75 0 0
#> 49 0.48 1.055138e+00 3.9104429 5.461918e+00 75 0 0
#> 50 0.49 1.094514e+00 3.9646361 5.376941e+00 75 0 0
#> 51 0.50 1.134428e+00 4.0179862 5.293287e+00 75 0 0
#> 52 0.51 1.174871e+00 4.0705062 5.210934e+00 75 0 0
#> 53 0.52 1.215835e+00 4.1222091 5.129862e+00 75 0 0
#> 54 0.53 1.257312e+00 4.1731076 5.050052e+00 75 0 0
#> 55 0.54 1.299295e+00 4.2232143 4.971483e+00 75 0 0
#> 56 0.55 1.341774e+00 4.2725414 4.894137e+00 75 0 0
#> 57 0.56 1.384743e+00 4.3211010 4.817994e+00 75 0 0
#> 58 0.57 1.428194e+00 4.3689052 4.743036e+00 75 0 0
#> 59 0.58 1.472119e+00 4.4159656 4.669244e+00 75 0 0
#> 60 0.59 1.516511e+00 4.4622939 4.596600e+00 75 0 0
#> 61 0.60 1.561362e+00 4.5079014 4.525086e+00 75 0 0
#> 62 0.61 1.606666e+00 4.5527993 4.454685e+00 75 0 0
#> 63 0.62 1.652416e+00 4.5969988 4.385379e+00 75 0 0
#> 64 0.63 1.698604e+00 4.6405105 4.317151e+00 75 0 0
#> 65 0.64 1.745224e+00 4.6833453 4.249985e+00 75 0 0
#> 66 0.65 1.792269e+00 4.7255137 4.183864e+00 75 0 0
#> 67 0.66 1.839732e+00 4.7670260 4.118771e+00 75 0 0
#> 68 0.67 1.887607e+00 4.8078925 4.054692e+00 75 0 0
#> 69 0.68 1.935888e+00 4.8481232 3.991609e+00 75 0 0
#> 70 0.69 1.984567e+00 4.8877280 3.929507e+00 75 0 0
#> 71 0.70 2.033640e+00 4.9267166 3.868372e+00 75 0 0
#> 72 0.71 2.083100e+00 4.9650986 3.808188e+00 75 0 0
#> 73 0.72 2.132940e+00 5.0028834 3.748940e+00 75 0 0
#> 74 0.73 2.183155e+00 5.0400805 3.690614e+00 75 0 0
#> 75 0.74 2.233740e+00 5.0766988 3.633196e+00 75 0 0
#> 76 0.75 2.284687e+00 5.1127473 3.576671e+00 75 0 0
#> 77 0.76 2.335993e+00 5.1482351 3.521025e+00 75 0 0
#> 78 0.77 2.387650e+00 5.1831707 3.466245e+00 75 0 0
#> 79 0.78 2.439654e+00 5.2175628 3.412317e+00 75 0 0
#> 80 0.79 2.492000e+00 5.2514199 3.359228e+00 75 0 0
#> 81 0.80 2.544681e+00 5.2847502 3.306966e+00 75 0 0
#> 82 0.81 2.597693e+00 5.3175619 3.255516e+00 75 0 0
#> 83 0.82 2.651031e+00 5.3498631 3.204867e+00 75 0 0
#> 84 0.83 2.704689e+00 5.3816618 3.155005e+00 75 0 0
#> 85 0.84 2.758662e+00 5.4129658 3.105920e+00 75 0 0
#> 86 0.85 2.812946e+00 5.4437828 3.057598e+00 75 0 0
#> 87 0.86 2.867536e+00 5.4741203 3.010028e+00 75 0 0
#> 88 0.87 2.922427e+00 5.5039858 2.963198e+00 75 0 0
#> 89 0.88 2.977614e+00 5.5333867 2.917097e+00 75 0 0
#> 90 0.89 3.033093e+00 5.5623301 2.871712e+00 75 0 0
#> 91 0.90 3.088859e+00 5.5908233 2.827034e+00 75 0 0
#> 92 0.91 3.144908e+00 5.6188731 2.783051e+00 75 0 0
#> 93 0.92 3.201235e+00 5.6464866 2.739753e+00 75 0 0
#> 94 0.93 3.257837e+00 5.6736704 2.697128e+00 75 0 0
#> 95 0.94 3.314707e+00 5.7004314 2.655166e+00 75 0 0
#> 96 0.95 3.371844e+00 5.7267759 2.613857e+00 75 0 0
#> 97 0.96 3.429242e+00 5.7527106 2.573190e+00 75 0 0
#> 98 0.97 3.486897e+00 5.7782418 2.533157e+00 75 0 0
#> 99 0.98 3.544805e+00 5.8033758 2.493746e+00 75 0 0
#> 100 0.99 3.602963e+00 5.8281188 2.454948e+00 75 0 0
#> 101 1.00 3.661366e+00 5.8524768 2.416754e+00 75 0 0
#> 102 1.01 3.720011e+00 5.8764559 2.379154e+00 75 0 0
#> 103 1.02 3.778894e+00 5.9000619 2.342140e+00 75 0 0
#> 104 1.03 3.838011e+00 5.9233006 2.305701e+00 75 0 0
#> 105 1.04 3.897359e+00 5.9461778 2.269829e+00 75 0 0
#> 106 1.05 3.956934e+00 5.9686990 2.234515e+00 75 0 0
#> 107 1.06 4.016732e+00 5.9908699 2.199750e+00 75 0 0
#> 108 1.07 4.076750e+00 6.0126958 2.165526e+00 75 0 0
#> 109 1.08 4.136984e+00 6.0341822 2.131835e+00 75 0 0
#> 110 1.09 4.197432e+00 6.0553343 2.098668e+00 75 0 0
#> 111 1.10 4.258090e+00 6.0761573 2.066017e+00 75 0 0
#> 112 1.11 4.318954e+00 6.0966563 2.033874e+00 75 0 0
#> 113 1.12 4.380022e+00 6.1168364 2.002231e+00 75 0 0
#> 114 1.13 4.441290e+00 6.1367026 1.971080e+00 75 0 0
#> 115 1.14 4.502755e+00 6.1562596 1.940414e+00 75 0 0
#> 116 1.15 4.564414e+00 6.1755125 1.910225e+00 75 0 0
#> 117 1.16 4.626264e+00 6.1944657 1.880506e+00 75 0 0
#> 118 1.17 4.688303e+00 6.2131241 1.851249e+00 75 0 0
#> 119 1.18 4.750526e+00 6.2314922 1.822448e+00 75 0 0
#> 120 1.19 4.812932e+00 6.2495746 1.794094e+00 75 0 0
#> 121 1.20 4.875516e+00 6.2673756 1.766181e+00 75 0 0
#> 122 1.21 4.938278e+00 6.2848996 1.738703e+00 75 0 0
#> 123 1.22 5.001214e+00 6.3021511 1.711653e+00 75 0 0
#> 124 1.23 5.064320e+00 6.3191341 1.685023e+00 75 0 0
#> 125 1.24 5.127595e+00 6.3358529 1.658807e+00 75 0 0
#> 126 1.25 5.191036e+00 6.3523116 1.632999e+00 75 0 0
#> 127 1.26 5.254641e+00 6.3685142 1.607593e+00 75 0 0
#> 128 1.27 5.318406e+00 6.3844648 1.582582e+00 75 0 0
#> 129 1.28 5.382329e+00 6.4001672 1.557961e+00 75 0 0
#> 130 1.29 5.446408e+00 6.4156253 1.533722e+00 75 0 0
#> 131 1.30 5.510641e+00 6.4308429 1.509860e+00 75 0 0
#> 132 1.31 5.575024e+00 6.4458237 1.486370e+00 75 0 0
#> 133 1.32 5.639557e+00 6.4605715 1.463245e+00 75 0 0
#> 134 1.33 5.704235e+00 6.4750898 1.440480e+00 75 0 0
#> 135 1.34 5.769058e+00 6.4893823 1.418069e+00 75 0 0
#> 136 1.35 5.834022e+00 6.5034523 1.396007e+00 75 0 0
#> 137 1.36 5.899126e+00 6.5173035 1.374287e+00 75 0 0
#> 138 1.37 5.964367e+00 6.5309392 1.352906e+00 75 0 0
#> 139 1.38 6.029744e+00 6.5443628 1.331858e+00 75 0 0
#> 140 1.39 6.095254e+00 6.5575775 1.311137e+00 75 0 0
#> 141 1.40 6.160895e+00 6.5705866 1.290738e+00 75 0 0
#> 142 1.41 6.226665e+00 6.5833933 1.270657e+00 75 0 0
#> 143 1.42 6.292562e+00 6.5960008 1.250888e+00 75 0 0
#> 144 1.43 6.358584e+00 6.6084121 1.231427e+00 75 0 0
#> 145 1.44 6.424730e+00 6.6206303 1.212268e+00 75 0 0
#> 146 1.45 6.490996e+00 6.6326584 1.193408e+00 75 0 0
#> 147 1.46 6.557382e+00 6.6444994 1.174841e+00 75 0 0
#> 148 1.47 6.623886e+00 6.6561562 1.156563e+00 75 0 0
#> 149 1.48 6.690505e+00 6.6676316 1.138569e+00 75 0 0
#> 150 1.49 6.757238e+00 6.6789285 1.120855e+00 75 0 0
#> 151 1.50 6.824083e+00 6.6900496 1.103417e+00 75 0 0
#> 152 1.51 6.891038e+00 6.7009978 1.086250e+00 75 0 0
#> 153 1.52 6.958102e+00 6.7117755 1.069350e+00 75 0 0
#> 154 1.53 7.025273e+00 6.7223856 1.052713e+00 75 0 0
#> 155 1.54 7.092549e+00 6.7328307 1.036335e+00 75 0 0
#> 156 1.55 7.159929e+00 6.7431132 1.020212e+00 75 0 0
#> 157 1.56 7.227411e+00 6.7532357 1.004339e+00 75 0 0
#> 158 1.57 7.294993e+00 6.7632008 9.887137e-01 75 0 0
#> 159 1.58 7.362675e+00 6.7730108 9.733313e-01 75 0 0
#> 160 1.59 7.430453e+00 6.7826682 9.581882e-01 75 0 0
#> 161 1.60 7.498327e+00 6.7921754 9.432808e-01 75 0 0
#> 162 1.61 7.566296e+00 6.8015346 9.286052e-01 75 0 0
#> 163 1.62 7.634358e+00 6.8107482 9.141580e-01 75 0 0
#> 164 1.63 7.702511e+00 6.8198185 8.999355e-01 75 0 0
#> 165 1.64 7.770754e+00 6.8287477 8.859344e-01 75 0 0
#> 166 1.65 7.839085e+00 6.8375379 8.721510e-01 75 0 0
#> 167 1.66 7.907504e+00 6.8461914 8.585821e-01 75 0 0
#> 168 1.67 7.976008e+00 6.8547103 8.452243e-01 75 0 0
#> 169 1.68 8.044598e+00 6.8630966 8.320743e-01 75 0 0
#> 170 1.69 8.113270e+00 6.8713524 8.191289e-01 75 0 0
#> 171 1.70 8.182024e+00 6.8794798 8.063849e-01 75 0 0
#> 172 1.71 8.250859e+00 6.8874808 7.938392e-01 75 0 0
#> 173 1.72 8.319773e+00 6.8953573 7.814887e-01 75 0 0
#> 174 1.73 8.388766e+00 6.9031112 7.693303e-01 75 0 0
#> 175 1.74 8.457835e+00 6.9107445 7.573610e-01 75 0 0
#> 176 1.75 8.526980e+00 6.9182590 7.455780e-01 75 0 0
#> 177 1.76 8.596200e+00 6.9256567 7.339783e-01 75 0 0
#> 178 1.77 8.665493e+00 6.9329392 7.225591e-01 75 0 0
#> 179 1.78 8.734858e+00 6.9401085 7.113176e-01 75 0 0
#> 180 1.79 8.804295e+00 6.9471661 7.002509e-01 75 0 0
#> 181 1.80 8.873801e+00 6.9541140 6.893564e-01 75 0 0
#> 182 1.81 8.943377e+00 6.9609538 6.786314e-01 75 0 0
#> 183 1.82 9.013020e+00 6.9676872 6.680733e-01 75 0 0
#> 184 1.83 9.082730e+00 6.9743159 6.576794e-01 75 0 0
#> 185 1.84 9.152506e+00 6.9808414 6.474472e-01 75 0 0
#> 186 1.85 9.222347e+00 6.9872653 6.373742e-01 75 0 0
#> 187 1.86 9.292251e+00 6.9935894 6.274580e-01 75 0 0
#> 188 1.87 9.362218e+00 6.9998150 6.176960e-01 75 0 0
#> 189 1.88 9.432247e+00 7.0059438 6.080859e-01 75 0 0
#> 190 1.89 9.502337e+00 7.0119772 5.986253e-01 75 0 0
#> 191 1.90 9.572486e+00 7.0179168 5.893119e-01 75 0 0
#> 192 1.91 9.642695e+00 7.0237639 5.801434e-01 75 0 0
#> 193 1.92 9.712961e+00 7.0295201 5.711175e-01 75 0 0
#> 194 1.93 9.783285e+00 7.0351868 5.622321e-01 75 0 0
#> 195 1.94 9.853665e+00 7.0407652 5.534849e-01 75 0 0
#> 196 1.95 9.924100e+00 7.0462569 5.448738e-01 75 0 0
#> 197 1.96 9.994590e+00 7.0516632 5.363967e-01 75 0 0
#> 198 1.97 1.006513e+01 7.0569853 5.280514e-01 75 0 0
#> 199 1.98 1.013573e+01 7.0622246 5.198360e-01 75 0 0
#> 200 1.99 1.020638e+01 7.0673824 5.117484e-01 75 0 0
#> 201 2.00 1.027708e+01 7.0724600 5.037866e-01 75 0 0
#> 202 2.01 1.034783e+01 7.0774586 4.959487e-01 75 0 0
#> 203 2.02 1.041863e+01 7.0823794 4.882328e-01 75 0 0
#> 204 2.03 1.048947e+01 7.0872236 4.806368e-01 75 0 0
#> 205 2.04 1.056037e+01 7.0919925 4.731591e-01 75 0 0
#> 206 2.05 1.063131e+01 7.0966872 4.657977e-01 75 0 0
#> 207 2.06 1.070230e+01 7.1013089 4.585508e-01 75 0 0
#> 208 2.07 1.077334e+01 7.1058586 4.514167e-01 75 0 0
#> 209 2.08 1.084442e+01 7.1103376 4.443936e-01 75 0 0
#> 210 2.09 1.091555e+01 7.1147468 4.374797e-01 75 0 0
#> 211 2.10 1.098671e+01 7.1190875 4.306734e-01 75 0 0
#> 212 2.11 1.105793e+01 7.1233607 4.239730e-01 75 0 0
#> 213 2.12 1.112918e+01 7.1275673 4.173768e-01 75 0 0
#> 214 2.13 1.120048e+01 7.1317085 4.108833e-01 75 0 0
#> 215 2.14 1.127182e+01 7.1357853 4.044908e-01 75 0 0
#> 216 2.15 1.134319e+01 7.1397987 3.981977e-01 75 0 0
#> 217 2.16 1.141461e+01 7.1437496 3.920026e-01 75 0 0
#> 218 2.17 1.148607e+01 7.1476390 3.859038e-01 75 0 0
#> 219 2.18 1.155756e+01 7.1514680 3.798999e-01 75 0 0
#> 220 2.19 1.162910e+01 7.1552374 3.739894e-01 75 0 0
#> 221 2.20 1.170067e+01 7.1589481 3.681709e-01 75 0 0
#> 222 2.21 1.177228e+01 7.1626011 3.624429e-01 75 0 0
#> 223 2.22 1.184392e+01 7.1661972 3.568040e-01 75 0 0
#> 224 2.23 1.191560e+01 7.1697375 3.512529e-01 75 0 0
#> 225 2.24 1.198731e+01 7.1732226 3.457881e-01 75 0 0
#> 226 2.25 1.205906e+01 7.1766535 3.404083e-01 75 0 0
#> 227 2.26 1.213085e+01 7.1800310 3.351123e-01 75 0 0
#> 228 2.27 1.220266e+01 7.1833560 3.298986e-01 75 0 0
#> 229 2.28 1.227451e+01 7.1866293 3.247660e-01 75 0 0
#> 230 2.29 1.234640e+01 7.1898516 3.197133e-01 75 0 0
#> 231 2.30 1.241831e+01 7.1930238 3.147392e-01 75 0 0
#> 232 2.31 1.249026e+01 7.1961466 3.098425e-01 75 0 0
#> 233 2.32 1.256223e+01 7.1992209 3.050220e-01 75 0 0
#> 234 2.33 1.263424e+01 7.2022473 3.002765e-01 75 0 0
#> 235 2.34 1.270628e+01 7.2052267 2.956048e-01 75 0 0
#> 236 2.35 1.277835e+01 7.2081597 2.910058e-01 75 0 0
#> 237 2.36 1.285044e+01 7.2110470 2.864783e-01 75 0 0
#> 238 2.37 1.292257e+01 7.2138895 2.820213e-01 75 0 0
#> 239 2.38 1.299472e+01 7.2166877 2.776336e-01 75 0 0
#> 240 2.39 1.306690e+01 7.2194424 2.733142e-01 75 0 0
#> 241 2.40 1.313911e+01 7.2221542 2.690620e-01 75 0 0
#> 242 2.41 1.321134e+01 7.2248238 2.648759e-01 75 0 0
#> 243 2.42 1.328360e+01 7.2274519 2.607550e-01 75 0 0
#> 244 2.43 1.335589e+01 7.2300391 2.566981e-01 75 0 0
#> 245 2.44 1.342821e+01 7.2325861 2.527044e-01 75 0 0
#> 246 2.45 1.350054e+01 7.2350934 2.487729e-01 75 0 0
#> 247 2.46 1.357291e+01 7.2375618 2.449025e-01 75 0 0
#> 248 2.47 1.364530e+01 7.2399917 2.410923e-01 75 0 0
#> 249 2.48 1.371771e+01 7.2423838 2.373414e-01 75 0 0
#> 250 2.49 1.379014e+01 7.2447387 2.336488e-01 75 0 0
#> 251 2.50 1.386260e+01 7.2470570 2.300137e-01 75 0 0
#> 252 2.51 1.393508e+01 7.2493392 2.264352e-01 75 0 0
#> 253 2.52 1.400759e+01 7.2515859 2.229123e-01 75 0 0
#> 254 2.53 1.408012e+01 7.2537976 2.194442e-01 75 0 0
#> 255 2.54 1.415266e+01 7.2559749 2.160301e-01 75 0 0
#> 256 2.55 1.422523e+01 7.2581184 2.126691e-01 75 0 0
#> 257 2.56 1.429783e+01 7.2602285 2.093604e-01 75 0 0
#> 258 2.57 1.437044e+01 7.2623058 2.061032e-01 75 0 0
#> 259 2.58 1.444307e+01 7.2643507 2.028966e-01 75 0 0
#> 260 2.59 1.451573e+01 7.2663639 1.997400e-01 75 0 0
#> 261 2.60 1.458840e+01 7.2683457 1.966324e-01 75 0 0
#> 262 2.61 1.466109e+01 7.2702967 1.935732e-01 75 0 0
#> 263 2.62 1.473381e+01 7.2722173 1.905616e-01 75 0 0
#> 264 2.63 1.480654e+01 7.2741081 1.875969e-01 75 0 0
#> 265 2.64 1.487929e+01 7.2759694 1.846782e-01 75 0 0
#> 266 2.65 1.495206e+01 7.2778018 1.818050e-01 75 0 0
#> 267 2.66 1.502484e+01 7.2796056 1.789765e-01 75 0 0
#> 268 2.67 1.509765e+01 7.2813815 1.761920e-01 75 0 0
#> 269 2.68 1.517047e+01 7.2831296 1.734508e-01 75 0 0
#> 270 2.69 1.524331e+01 7.2848506 1.707522e-01 75 0 0
#> 271 2.70 1.531617e+01 7.2865448 1.680957e-01 75 0 0
#> 272 2.71 1.538904e+01 7.2882127 1.654804e-01 75 0 0
#> 273 2.72 1.546193e+01 7.2898546 1.629059e-01 75 0 0
#> 274 2.73 1.553484e+01 7.2914709 1.603714e-01 75 0 0
#> 275 2.74 1.560776e+01 7.2930621 1.578764e-01 75 0 0
#> 276 2.75 1.568070e+01 7.2946286 1.554201e-01 75 0 0
#> 277 2.76 1.575365e+01 7.2961706 1.530021e-01 75 0 0
#> 278 2.77 1.582662e+01 7.2976887 1.506217e-01 75 0 0
#> 279 2.78 1.589961e+01 7.2991832 1.482783e-01 75 0 0
#> 280 2.79 1.597261e+01 7.3006544 1.459714e-01 75 0 0
#> 281 2.80 1.604562e+01 7.3021028 1.437004e-01 75 0 0
#> 282 2.81 1.611865e+01 7.3035285 1.414647e-01 75 0 0
#> 283 2.82 1.619169e+01 7.3049322 1.392638e-01 75 0 0
#> 284 2.83 1.626475e+01 7.3063139 1.370971e-01 75 0 0
#> 285 2.84 1.633782e+01 7.3076742 1.349642e-01 75 0 0
#> 286 2.85 1.641090e+01 7.3090133 1.328644e-01 75 0 0
#> 287 2.86 1.648400e+01 7.3103316 1.307973e-01 75 0 0
#> 288 2.87 1.655711e+01 7.3116294 1.287624e-01 75 0 0
#> 289 2.88 1.663023e+01 7.3129070 1.267591e-01 75 0 0
#> 290 2.89 1.670337e+01 7.3141647 1.247870e-01 75 0 0
#> 291 2.90 1.677651e+01 7.3154028 1.228455e-01 75 0 0
#> 292 2.91 1.684967e+01 7.3166217 1.209343e-01 75 0 0
#> 293 2.92 1.692285e+01 7.3178216 1.190528e-01 75 0 0
#> 294 2.93 1.699603e+01 7.3190028 1.172006e-01 75 0 0
#> 295 2.94 1.706923e+01 7.3201657 1.153772e-01 75 0 0
#> 296 2.95 1.714243e+01 7.3213105 1.135821e-01 75 0 0
#> 297 2.96 1.721565e+01 7.3224374 1.118150e-01 75 0 0
#> 298 2.97 1.728888e+01 7.3235469 1.100754e-01 75 0 0
#> 299 2.98 1.736212e+01 7.3246390 1.083629e-01 75 0 0
#> 300 2.99 1.743537e+01 7.3257142 1.066770e-01 75 0 0
#> 301 3.00 1.750864e+01 7.3267727 1.050173e-01 75 0 0
#> 302 3.01 1.758191e+01 7.3278146 1.033834e-01 75 0 0
#> 303 3.02 1.765519e+01 7.3288404 1.017750e-01 75 0 0
#> 304 3.03 1.772849e+01 7.3298502 1.001916e-01 75 0 0
#> 305 3.04 1.780179e+01 7.3308443 9.863279e-02 75 0 0
#> 306 3.05 1.787510e+01 7.3318230 9.709827e-02 75 0 0
#> 307 3.06 1.794843e+01 7.3327864 9.558761e-02 75 0 0
#> 308 3.07 1.802176e+01 7.3337348 9.410046e-02 75 0 0
#> 309 3.08 1.809510e+01 7.3346685 9.263645e-02 75 0 0
#> 310 3.09 1.816845e+01 7.3355876 9.119521e-02 75 0 0
#> 311 3.10 1.824181e+01 7.3364924 8.977640e-02 75 0 0
#> 312 3.11 1.831518e+01 7.3373832 8.837966e-02 75 0 0
#> 313 3.12 1.838856e+01 7.3382601 8.700465e-02 75 0 0
#> 314 3.13 1.846195e+01 7.3391234 8.565103e-02 75 0 0
#> 315 3.14 1.853534e+01 7.3399732 8.431848e-02 75 0 0
#> 316 3.15 1.860875e+01 7.3408098 8.300665e-02 75 0 0
#> 317 3.16 1.868216e+01 7.3416334 8.171524e-02 75 0 0
#> 318 3.17 1.875558e+01 7.3424442 8.044391e-02 75 0 0
#> 319 3.18 1.882901e+01 7.3432423 7.919237e-02 75 0 0
#> 320 3.19 1.890244e+01 7.3440281 7.796029e-02 75 0 0
#> 321 3.20 1.897589e+01 7.3448016 7.674739e-02 75 0 0
#> 322 3.21 1.904934e+01 7.3455631 7.555335e-02 75 0 0
#> 323 3.22 1.912280e+01 7.3463127 7.437790e-02 75 0 0
#> 324 3.23 1.919627e+01 7.3470507 7.322073e-02 75 0 0
#> 325 3.24 1.926974e+01 7.3477772 7.208156e-02 75 0 0
#> 326 3.25 1.934322e+01 7.3484924 7.096011e-02 75 0 0
#> 327 3.26 1.941671e+01 7.3491965 6.985612e-02 75 0 0
#> 328 3.27 1.949021e+01 7.3498896 6.876930e-02 75 0 0
#> 329 3.28 1.956371e+01 7.3505719 6.769939e-02 75 0 0
#> 330 3.29 1.963722e+01 7.3512436 6.664612e-02 75 0 0
#> 331 3.30 1.971073e+01 7.3519049 6.560924e-02 75 0 0
#> 332 3.31 1.978426e+01 7.3525559 6.458849e-02 75 0 0
#> 333 3.32 1.985778e+01 7.3531967 6.358363e-02 75 0 0
#> 334 3.33 1.993132e+01 7.3538276 6.259439e-02 75 0 0
#> 335 3.34 2.000486e+01 7.3544487 6.162055e-02 75 0 0
#> 336 3.35 2.007841e+01 7.3550601 6.066186e-02 75 0 0
#> 337 3.36 2.015196e+01 7.3556619 5.971808e-02 75 0 0
#> 338 3.37 2.022552e+01 7.3562545 5.878899e-02 75 0 0
#> 339 3.38 2.029909e+01 7.3568378 5.787435e-02 75 0 0
#> 340 3.39 2.037266e+01 7.3574120 5.697394e-02 75 0 0
#> 341 3.40 2.044623e+01 7.3579773 5.608754e-02 75 0 0
#> 342 3.41 2.051982e+01 7.3585338 5.521494e-02 75 0 0
#> 343 3.42 2.059341e+01 7.3590816 5.435590e-02 75 0 0
#> 344 3.43 2.066700e+01 7.3596210 5.351023e-02 75 0 0
#> 345 3.44 2.074060e+01 7.3601519 5.267772e-02 75 0 0
#> 346 3.45 2.081420e+01 7.3606746 5.185816e-02 75 0 0
#> 347 3.46 2.088781e+01 7.3611891 5.105136e-02 75 0 0
#> 348 3.47 2.096143e+01 7.3616956 5.025710e-02 75 0 0
#> 349 3.48 2.103505e+01 7.3621943 4.947520e-02 75 0 0
#> 350 3.49 2.110867e+01 7.3626852 4.870547e-02 75 0 0
#> 351 3.50 2.118230e+01 7.3631684 4.794771e-02 75 0 0
#> 352 3.51 2.125593e+01 7.3636442 4.720174e-02 75 0 0
#> 353 3.52 2.132957e+01 7.3641125 4.646737e-02 75 0 0
#> 354 3.53 2.140322e+01 7.3645736 4.574444e-02 75 0 0
#> 355 3.54 2.147686e+01 7.3650274 4.503274e-02 75 0 0
#> 356 3.55 2.155052e+01 7.3654742 4.433213e-02 75 0 0
#> 357 3.56 2.162417e+01 7.3659141 4.364241e-02 75 0 0
#> 358 3.57 2.169783e+01 7.3663471 4.296342e-02 75 0 0
#> 359 3.58 2.177150e+01 7.3667734 4.229499e-02 75 0 0
#> 360 3.59 2.184517e+01 7.3671931 4.163697e-02 75 0 0
#> 361 3.60 2.191884e+01 7.3676062 4.098918e-02 75 0 0
#> 362 3.61 2.199252e+01 7.3680129 4.035147e-02 75 0 0
#> 363 3.62 2.206620e+01 7.3684132 3.972369e-02 75 0 0
#> 364 3.63 2.213989e+01 7.3688074 3.910567e-02 75 0 0
#> 365 3.64 2.221358e+01 7.3691954 3.849726e-02 75 0 0
#> 366 3.65 2.228727e+01 7.3695774 3.789832e-02 75 0 0
#> 367 3.66 2.236097e+01 7.3699534 3.730870e-02 75 0 0
#> 368 3.67 2.243467e+01 7.3703236 3.672825e-02 75 0 0
#> 369 3.68 2.250838e+01 7.3706880 3.615683e-02 75 0 0
#> 370 3.69 2.258209e+01 7.3710467 3.559431e-02 75 0 0
#> 371 3.70 2.265580e+01 7.3713999 3.504053e-02 75 0 0
#> 372 3.71 2.272951e+01 7.3717476 3.449537e-02 75 0 0
#> 373 3.72 2.280323e+01 7.3720898 3.395869e-02 75 0 0
#> 374 3.73 2.287696e+01 7.3724268 3.343036e-02 75 0 0
#> 375 3.74 2.295068e+01 7.3727585 3.291025e-02 75 0 0
#> 376 3.75 2.302441e+01 7.3730850 3.239824e-02 75 0 0
#> 377 3.76 2.309814e+01 7.3734065 3.189419e-02 75 0 0
#> 378 3.77 2.317188e+01 7.3737229 3.139798e-02 75 0 0
#> 379 3.78 2.324562e+01 7.3740344 3.090949e-02 75 0 0
#> 380 3.79 2.331936e+01 7.3743411 3.042860e-02 75 0 0
#> 381 3.80 2.339311e+01 7.3746430 2.995519e-02 75 0 0
#> 382 3.81 2.346685e+01 7.3749403 2.948915e-02 75 0 0
#> 383 3.82 2.354060e+01 7.3752329 2.903036e-02 75 0 0
#> 384 3.83 2.361436e+01 7.3755209 2.857870e-02 75 0 0
#> 385 3.84 2.368811e+01 7.3758044 2.813408e-02 75 0 0
#> 386 3.85 2.376187e+01 7.3760836 2.769637e-02 75 0 0
#> 387 3.86 2.383564e+01 7.3763584 2.726547e-02 75 0 0
#> 388 3.87 2.390940e+01 7.3766289 2.684127e-02 75 0 0
#> 389 3.88 2.398317e+01 7.3768952 2.642367e-02 75 0 0
#> 390 3.89 2.405694e+01 7.3771574 2.601258e-02 75 0 0
#> 391 3.90 2.413071e+01 7.3774155 2.560787e-02 75 0 0
#> 392 3.91 2.420449e+01 7.3776696 2.520947e-02 75 0 0
#> 393 3.92 2.427827e+01 7.3779197 2.481726e-02 75 0 0
#> 394 3.93 2.435205e+01 7.3781660 2.443115e-02 75 0 0
#> 395 3.94 2.442583e+01 7.3784084 2.405105e-02 75 0 0
#> 396 3.95 2.449961e+01 7.3786470 2.367687e-02 75 0 0
#> 397 3.96 2.457340e+01 7.3788819 2.330850e-02 75 0 0
#> 398 3.97 2.464719e+01 7.3791132 2.294587e-02 75 0 0
#> 399 3.98 2.472098e+01 7.3793409 2.258888e-02 75 0 0
#> 400 3.99 2.479478e+01 7.3795650 2.223744e-02 75 0 0
#> 401 4.00 2.486857e+01 7.3797856 2.189147e-02 75 0 0
#> 402 4.01 2.494237e+01 7.3800028 2.155088e-02 75 0 0
#> 403 4.02 2.501617e+01 7.3802167 2.121559e-02 75 0 0
#> 404 4.03 2.508998e+01 7.3804272 2.088552e-02 75 0 0
#> 405 4.04 2.516378e+01 7.3806344 2.056059e-02 75 0 0
#> 406 4.05 2.523759e+01 7.3808384 2.024070e-02 75 0 0
#> 407 4.06 2.531140e+01 7.3810392 1.992580e-02 75 0 0
#> 408 4.07 2.538521e+01 7.3812369 1.961579e-02 75 0 0
#> 409 4.08 2.545902e+01 7.3814316 1.931061e-02 75 0 0
#> 410 4.09 2.553284e+01 7.3816232 1.901018e-02 75 0 0
#> 411 4.10 2.560666e+01 7.3818118 1.871442e-02 75 0 0
#> 412 4.11 2.568048e+01 7.3819975 1.842326e-02 75 0 0
#> 413 4.12 2.575430e+01 7.3821803 1.813663e-02 75 0 0
#> 414 4.13 2.582812e+01 7.3823602 1.785446e-02 75 0 0
#> 415 4.14 2.590194e+01 7.3825374 1.757668e-02 75 0 0
#> 416 4.15 2.597577e+01 7.3827118 1.730322e-02 75 0 0
#> 417 4.16 2.604960e+01 7.3828834 1.703402e-02 75 0 0
#> 418 4.17 2.612343e+01 7.3830525 1.676901e-02 75 0 0
#> 419 4.18 2.619726e+01 7.3832188 1.650811e-02 75 0 0
#> 420 4.19 2.627109e+01 7.3833826 1.625128e-02 75 0 0
#> 421 4.20 2.634493e+01 7.3835439 1.599844e-02 75 0 0
#> 422 4.21 2.641876e+01 7.3837026 1.574954e-02 75 0 0
#> 423 4.22 2.649260e+01 7.3838589 1.550451e-02 75 0 0
#> 424 4.23 2.656644e+01 7.3840127 1.526329e-02 75 0 0
#> 425 4.24 2.664028e+01 7.3841642 1.502582e-02 75 0 0
#> 426 4.25 2.671412e+01 7.3843132 1.479205e-02 75 0 0
#> 427 4.26 2.678797e+01 7.3844600 1.456192e-02 75 0 0
#> 428 4.27 2.686181e+01 7.3846045 1.433536e-02 75 0 0
#> 429 4.28 2.693566e+01 7.3847467 1.411233e-02 75 0 0
#> 430 4.29 2.700951e+01 7.3848867 1.389278e-02 75 0 0
#> 431 4.30 2.708336e+01 7.3850246 1.367663e-02 75 0 0
#> 432 4.31 2.715721e+01 7.3851603 1.346385e-02 75 0 0
#> 433 4.32 2.723106e+01 7.3852939 1.325438e-02 75 0 0
#> 434 4.33 2.730491e+01 7.3854254 1.304817e-02 75 0 0
#> 435 4.34 2.737877e+01 7.3855549 1.284517e-02 75 0 0
#> 436 4.35 2.745263e+01 7.3856823 1.264532e-02 75 0 0
#> 437 4.36 2.752648e+01 7.3858078 1.244859e-02 75 0 0
#> 438 4.37 2.760034e+01 7.3859313 1.225491e-02 75 0 0
#> 439 4.38 2.767420e+01 7.3860529 1.206425e-02 75 0 0
#> 440 4.39 2.774806e+01 7.3861726 1.187655e-02 75 0 0
#> 441 4.40 2.782193e+01 7.3862904 1.169178e-02 75 0 0
#> 442 4.41 2.789579e+01 7.3864064 1.150988e-02 75 0 0
#> 443 4.42 2.796965e+01 7.3865206 1.133081e-02 75 0 0
#> 444 4.43 2.804352e+01 7.3866331 1.115452e-02 75 0 0
#> 445 4.44 2.811739e+01 7.3867437 1.098098e-02 75 0 0
#> 446 4.45 2.819125e+01 7.3868527 1.081014e-02 75 0 0
#> 447 4.46 2.826512e+01 7.3869599 1.064195e-02 75 0 0
#> 448 4.47 2.833899e+01 7.3870655 1.047639e-02 75 0 0
#> 449 4.48 2.841286e+01 7.3871695 1.031340e-02 75 0 0
#> 450 4.49 2.848674e+01 7.3872718 1.015294e-02 75 0 0
#> 451 4.50 2.856061e+01 7.3873725 9.994981e-03 75 0 0
#> 452 4.51 2.863448e+01 7.3874717 9.839479e-03 75 0 0
#> 453 4.52 2.870836e+01 7.3875693 9.686397e-03 75 0 0
#> 454 4.53 2.878224e+01 7.3876654 9.535696e-03 75 0 0
#> 455 4.54 2.885611e+01 7.3877601 9.387340e-03 75 0 0
#> 456 4.55 2.892999e+01 7.3878532 9.241292e-03 75 0 0
#> 457 4.56 2.900387e+01 7.3879449 9.097516e-03 75 0 0
#> 458 4.57 2.907775e+01 7.3880352 8.955977e-03 75 0 0
#> 459 4.58 2.915163e+01 7.3881240 8.816640e-03 75 0 0
#> 460 4.59 2.922551e+01 7.3882115 8.679471e-03 75 0 0
#> 461 4.60 2.929939e+01 7.3882976 8.544436e-03 75 0 0
#> 462 4.61 2.937328e+01 7.3883824 8.411502e-03 75 0 0
#> 463 4.62 2.944716e+01 7.3884659 8.280636e-03 75 0 0
#> 464 4.63 2.952105e+01 7.3885480 8.151806e-03 75 0 0
#> 465 4.64 2.959493e+01 7.3886289 8.024980e-03 75 0 0
#> 466 4.65 2.966882e+01 7.3887085 7.900128e-03 75 0 0
#> 467 4.66 2.974271e+01 7.3887869 7.777218e-03 75 0 0
#> 468 4.67 2.981660e+01 7.3888641 7.656220e-03 75 0 0
#> 469 4.68 2.989048e+01 7.3889400 7.537104e-03 75 0 0
#> 470 4.69 2.996437e+01 7.3890148 7.419842e-03 75 0 0
#> 471 4.70 3.003826e+01 7.3890884 7.304404e-03 75 0 0
#> 472 4.71 3.011216e+01 7.3891609 7.190763e-03 75 0 0
#> 473 4.72 3.018605e+01 7.3892323 7.078889e-03 75 0 0
#> 474 4.73 3.025994e+01 7.3893025 6.968756e-03 75 0 0
#> 475 4.74 3.033383e+01 7.3893716 6.860336e-03 75 0 0
#> 476 4.75 3.040773e+01 7.3894397 6.753603e-03 75 0 0
#> 477 4.76 3.048162e+01 7.3895067 6.648530e-03 75 0 0
#> 478 4.77 3.055552e+01 7.3895727 6.545093e-03 75 0 0
#> 479 4.78 3.062941e+01 7.3896376 6.443264e-03 75 0 0
#> 480 4.79 3.070331e+01 7.3897016 6.343020e-03 75 0 0
#> 481 4.80 3.077721e+01 7.3897645 6.244335e-03 75 0 0
#> 482 4.81 3.085111e+01 7.3898264 6.147186e-03 75 0 0
#> 483 4.82 3.092500e+01 7.3898874 6.051548e-03 75 0 0
#> 484 4.83 3.099890e+01 7.3899475 5.957398e-03 75 0 0
#> 485 4.84 3.107280e+01 7.3900066 5.864713e-03 75 0 0
#> 486 4.85 3.114670e+01 7.3900648 5.773470e-03 75 0 0
#> 487 4.86 3.122061e+01 7.3901221 5.683647e-03 75 0 0
#> 488 4.87 3.129451e+01 7.3901785 5.595221e-03 75 0 0
#> 489 4.88 3.136841e+01 7.3902340 5.508170e-03 75 0 0
#> 490 4.89 3.144231e+01 7.3902886 5.422474e-03 75 0 0
#> 491 4.90 3.151621e+01 7.3903424 5.338111e-03 75 0 0
#> 492 4.91 3.159012e+01 7.3903954 5.255061e-03 75 0 0
#> 493 4.92 3.166402e+01 7.3904475 5.173303e-03 75 0 0
#> 494 4.93 3.173793e+01 7.3904989 5.092817e-03 75 0 0
#> 495 4.94 3.181183e+01 7.3905494 5.013583e-03 75 0 0
#> 496 4.95 3.188574e+01 7.3905991 4.935582e-03 75 0 0
#> 497 4.96 3.195964e+01 7.3906481 4.858794e-03 75 0 0
#> 498 4.97 3.203355e+01 7.3906963 4.783201e-03 75 0 0
#> 499 4.98 3.210746e+01 7.3907438 4.708784e-03 75 0 0
#> 500 4.99 3.218137e+01 7.3907905 4.635525e-03 75 0 0
#> 501 5.00 3.225527e+01 7.3908365 4.563405e-03 75 0 0
#> 502 5.01 3.232918e+01 7.3908818 4.492408e-03 75 0 0
#> 503 5.02 3.240309e+01 7.3909263 4.422515e-03 75 0 0
#> 504 5.03 3.247700e+01 7.3909702 4.353710e-03 75 0 0
#> 505 5.04 3.255091e+01 7.3910134 4.285975e-03 75 0 0
#> 506 5.05 3.262482e+01 7.3910560 4.219294e-03 75 0 0
#> 507 5.06 3.269873e+01 7.3910978 4.153650e-03 75 0 0
#> 508 5.07 3.277264e+01 7.3911390 4.089028e-03 75 0 0
#> 509 5.08 3.284655e+01 7.3911796 4.025411e-03 75 0 0
#> 510 5.09 3.292047e+01 7.3912195 3.962783e-03 75 0 0
#> 511 5.10 3.299438e+01 7.3912589 3.901130e-03 75 0 0
#> 512 5.11 3.306829e+01 7.3912976 3.840437e-03 75 0 0
#> 513 5.12 3.314221e+01 7.3913357 3.780687e-03 75 0 0
#> 514 5.13 3.321612e+01 7.3913732 3.721867e-03 75 0 0
#> 515 5.14 3.329003e+01 7.3914101 3.663963e-03 75 0 0
#> 516 5.15 3.336395e+01 7.3914465 3.606959e-03 75 0 0
#> 517 5.16 3.343786e+01 7.3914823 3.550842e-03 75 0 0
#> 518 5.17 3.351178e+01 7.3915175 3.495598e-03 75 0 0
#> 519 5.18 3.358569e+01 7.3915522 3.441213e-03 75 0 0
#> 520 5.19 3.365961e+01 7.3915863 3.387675e-03 75 0 0
#> 521 5.20 3.373352e+01 7.3916199 3.334970e-03 75 0 0
#> 522 5.21 3.380744e+01 7.3916530 3.283084e-03 75 0 0
#> 523 5.22 3.388136e+01 7.3916856 3.232006e-03 75 0 0
#> 524 5.23 3.395527e+01 7.3917177 3.181723e-03 75 0 0
#> 525 5.24 3.402919e+01 7.3917492 3.132221e-03 75 0 0
#> 526 5.25 3.410311e+01 7.3917803 3.083490e-03 75 0 0
#> 527 5.26 3.417703e+01 7.3918109 3.035517e-03 75 0 0
#> 528 5.27 3.425095e+01 7.3918410 2.988291e-03 75 0 0
#> 529 5.28 3.432486e+01 7.3918707 2.941799e-03 75 0 0
#> 530 5.29 3.439878e+01 7.3918999 2.896031e-03 75 0 0
#> 531 5.30 3.447270e+01 7.3919286 2.850974e-03 75 0 0
#> 532 5.31 3.454662e+01 7.3919569 2.806619e-03 75 0 0
#> 533 5.32 3.462054e+01 7.3919847 2.762954e-03 75 0 0
#> 534 5.33 3.469446e+01 7.3920121 2.719968e-03 75 0 0
#> 535 5.34 3.476838e+01 7.3920391 2.677650e-03 75 0 0
#> 536 5.35 3.484230e+01 7.3920657 2.635991e-03 75 0 0
#> 537 5.36 3.491622e+01 7.3920918 2.594981e-03 75 0 0
#> 538 5.37 3.499014e+01 7.3921176 2.554608e-03 75 0 0
#> 539 5.38 3.506406e+01 7.3921429 2.514864e-03 75 0 0
#> 540 5.39 3.513799e+01 7.3921679 2.475737e-03 75 0 0
#> 541 5.40 3.521191e+01 7.3921925 2.437220e-03 75 0 0
#> 542 5.41 3.528583e+01 7.3922166 2.399302e-03 75 0 0
#> 543 5.42 3.535975e+01 7.3922404 2.361973e-03 75 0 0
#> 544 5.43 3.543367e+01 7.3922639 2.325226e-03 75 0 0
#> 545 5.44 3.550760e+01 7.3922870 2.289050e-03 75 0 0
#> 546 5.45 3.558152e+01 7.3923097 2.253437e-03 75 0 0
#> 547 5.46 3.565544e+01 7.3923320 2.218378e-03 75 0 0
#> 548 5.47 3.572937e+01 7.3923540 2.183865e-03 75 0 0
#> 549 5.48 3.580329e+01 7.3923757 2.149888e-03 75 0 0
#> 550 5.49 3.587721e+01 7.3923970 2.116440e-03 75 0 0
#> 551 5.50 3.595114e+01 7.3924180 2.083513e-03 75 0 0
#> 552 5.51 3.602506e+01 7.3924387 2.051097e-03 75 0 0
#> 553 5.52 3.609899e+01 7.3924591 2.019186e-03 75 0 0
#> 554 5.53 3.617291e+01 7.3924791 1.987772e-03 75 0 0
#> 555 5.54 3.624684e+01 7.3924988 1.956846e-03 75 0 0
#> 556 5.55 3.632076e+01 7.3925182 1.926402e-03 75 0 0
#> 557 5.56 3.639469e+01 7.3925373 1.896431e-03 75 0 0
#> 558 5.57 3.646861e+01 7.3925562 1.866926e-03 75 0 0
#> 559 5.58 3.654254e+01 7.3925747 1.837880e-03 75 0 0
#> 560 5.59 3.661646e+01 7.3925929 1.809287e-03 75 0 0
#> 561 5.60 3.669039e+01 7.3926109 1.781138e-03 75 0 0
#> 562 5.61 3.676432e+01 7.3926285 1.753427e-03 75 0 0
#> 563 5.62 3.683824e+01 7.3926459 1.726147e-03 75 0 0
#> 564 5.63 3.691217e+01 7.3926631 1.699292e-03 75 0 0
#> 565 5.64 3.698610e+01 7.3926799 1.672854e-03 75 0 0
#> 566 5.65 3.706002e+01 7.3926965 1.646828e-03 75 0 0
#> 567 5.66 3.713395e+01 7.3927129 1.621207e-03 75 0 0
#> 568 5.67 3.720788e+01 7.3927290 1.595984e-03 75 0 0
#> 569 5.68 3.728180e+01 7.3927448 1.571154e-03 75 0 0
#> 570 5.69 3.735573e+01 7.3927604 1.546710e-03 75 0 0
#> 571 5.70 3.742966e+01 7.3927757 1.522646e-03 75 0 0
#> 572 5.71 3.750359e+01 7.3927908 1.498957e-03 75 0 0
#> 573 5.72 3.757752e+01 7.3928057 1.475636e-03 75 0 0
#> 574 5.73 3.765144e+01 7.3928203 1.452678e-03 75 0 0
#> 575 5.74 3.772537e+01 7.3928348 1.430077e-03 75 0 0
#> 576 5.75 3.779930e+01 7.3928489 1.407828e-03 75 0 0
#> 577 5.76 3.787323e+01 7.3928629 1.385925e-03 75 0 0
#> 578 5.77 3.794716e+01 7.3928767 1.364363e-03 75 0 0
#> 579 5.78 3.802109e+01 7.3928902 1.343136e-03 75 0 0
#> 580 5.79 3.809502e+01 7.3929035 1.322240e-03 75 0 0
#> 581 5.80 3.816894e+01 7.3929166 1.301668e-03 75 0 0
#> 582 5.81 3.824287e+01 7.3929296 1.281417e-03 75 0 0
#> 583 5.82 3.831680e+01 7.3929423 1.261481e-03 75 0 0
#> 584 5.83 3.839073e+01 7.3929548 1.241855e-03 75 0 0
#> 585 5.84 3.846466e+01 7.3929671 1.222534e-03 75 0 0
#> 586 5.85 3.853859e+01 7.3929792 1.203514e-03 75 0 0
#> 587 5.86 3.861252e+01 7.3929912 1.184790e-03 75 0 0
#> 588 5.87 3.868645e+01 7.3930029 1.166357e-03 75 0 0
#> 589 5.88 3.876038e+01 7.3930145 1.148210e-03 75 0 0
#> 590 5.89 3.883431e+01 7.3930259 1.130347e-03 75 0 0
#> 591 5.90 3.890824e+01 7.3930371 1.112761e-03 75 0 0
#> 592 5.91 3.898217e+01 7.3930482 1.095448e-03 75 0 0
#> 593 5.92 3.905610e+01 7.3930590 1.078405e-03 75 0 0
#> 594 5.93 3.913003e+01 7.3930697 1.061628e-03 75 0 0
#> 595 5.94 3.920397e+01 7.3930803 1.045111e-03 75 0 0
#> 596 5.95 3.927790e+01 7.3930906 1.028851e-03 75 0 0
#> 597 5.96 3.935183e+01 7.3931008 1.012844e-03 75 0 0
#> 598 5.97 3.942576e+01 7.3931109 9.970863e-04 75 0 0
#> 599 5.98 3.949969e+01 7.3931208 9.815737e-04 75 0 0
#> 600 5.99 3.957362e+01 7.3931305 9.663024e-04 75 0 0
#> 601 6.00 3.964755e+01 7.3931401 9.512687e-04 75 0 0
#> air_resistance horizontal_force horizontal_force_relative vertical_force
#> 1 0.000000000 869.52009 11.5936012 735.75
#> 2 0.003571112 855.99568 11.4132757 735.75
#> 3 0.014063075 842.68866 11.2358488 735.75
#> 4 0.031152825 829.59543 11.0612724 735.75
#> 5 0.054528975 816.71246 10.8894995 735.75
#> 6 0.083891427 804.03627 10.7204837 735.75
#> 7 0.118950997 791.56346 10.5541794 735.75
#> 8 0.159429053 779.29065 10.3905420 735.75
#> 9 0.205057164 767.21457 10.2295276 735.75
#> 10 0.255576760 755.33197 10.0710929 735.75
#> 11 0.310738804 743.63967 9.9151955 735.75
#> 12 0.370303471 732.13453 9.7617937 735.75
#> 13 0.434039843 720.81349 9.6108466 735.75
#> 14 0.501725608 709.67353 9.4623137 735.75
#> 15 0.573146775 698.71166 9.3161555 735.75
#> 16 0.648097388 687.92499 9.1723332 735.75
#> 17 0.726379264 677.31063 9.0308084 735.75
#> 18 0.807801724 666.86576 8.8915435 735.75
#> 19 0.892181343 656.58762 8.7545016 735.75
#> 20 0.979341705 646.47348 8.6196465 735.75
#> 21 1.069113163 636.52067 8.4869423 735.75
#> 22 1.161332613 626.72654 8.3563539 735.75
#> 23 1.255843270 617.08852 8.2278470 735.75
#> 24 1.352494453 607.60406 8.1013874 735.75
#> 25 1.451141376 598.27065 7.9769420 735.75
#> 26 1.551644947 589.08585 7.8544780 735.75
#> 27 1.653871577 580.04723 7.7339630 735.75
#> 28 1.757692983 571.15242 7.6153655 735.75
#> 29 1.862986015 562.39907 7.4986543 735.75
#> 30 1.969632473 553.78491 7.3837988 735.75
#> 31 2.077518939 545.30766 7.2707688 735.75
#> 32 2.186536611 536.96512 7.1595349 735.75
#> 33 2.296581143 528.75508 7.0500678 735.75
#> 34 2.407552491 520.67542 6.9423390 735.75
#> 35 2.519354762 512.72402 6.8363203 735.75
#> 36 2.631896073 504.89881 6.7319841 735.75
#> 37 2.745088405 497.19774 6.6293032 735.75
#> 38 2.858847472 489.61881 6.5282508 735.75
#> 39 2.973092590 482.16005 6.4288007 735.75
#> 40 3.087746547 474.81953 6.3309270 735.75
#> 41 3.202735485 467.59532 6.2346043 735.75
#> 42 3.317988778 460.48556 6.1398075 735.75
#> 43 3.433438916 453.48840 6.0465121 735.75
#> 44 3.549021402 446.60204 5.9546939 735.75
#> 45 3.664674633 439.82468 5.8643291 735.75
#> 46 3.780339808 433.15458 5.7753944 735.75
#> 47 3.895960818 426.59000 5.6878667 735.75
#> 48 4.011484157 420.12926 5.6017234 735.75
#> 49 4.126858823 413.77068 5.5169424 735.75
#> 50 4.242036229 407.51262 5.4335016 735.75
#> 51 4.356970115 401.35348 5.3513797 735.75
#> 52 4.471616465 395.29166 5.2705555 735.75
#> 53 4.585933423 389.32561 5.1910081 735.75
#> 54 4.699881214 383.45378 5.1127171 735.75
#> 55 4.813422069 377.67468 5.0356623 735.75
#> 56 4.926520149 371.98680 4.9598241 735.75
#> 57 5.039141476 366.38871 4.8851828 735.75
#> 58 5.151253861 360.87895 4.8117193 735.75
#> 59 5.262826839 355.45612 4.7394149 735.75
#> 60 5.373831605 350.11882 4.6682509 735.75
#> 61 5.484240948 344.86569 4.5982092 735.75
#> 62 5.594029196 339.69539 4.5292719 735.75
#> 63 5.703172154 334.60659 4.4614212 735.75
#> 64 5.811647049 329.59799 4.3946399 735.75
#> 65 5.919432475 324.66831 4.3289108 735.75
#> 66 6.026508341 319.81630 4.2642173 735.75
#> 67 6.132855820 315.04071 4.2005428 735.75
#> 68 6.238457299 310.34033 4.1378711 735.75
#> 69 6.343296336 305.71396 4.0761861 735.75
#> 70 6.447357606 301.16041 4.0154722 735.75
#> 71 6.550626866 296.67854 3.9557139 735.75
#> 72 6.653090905 292.26720 3.8968960 735.75
#> 73 6.754737508 287.92527 3.8390036 735.75
#> 74 6.855555412 283.65164 3.7820219 735.75
#> 75 6.955534272 279.44523 3.7259364 735.75
#> 76 7.054664618 275.30497 3.6707329 735.75
#> 77 7.152937826 271.22981 3.6163975 735.75
#> 78 7.250346078 267.21871 3.5629162 735.75
#> 79 7.346882332 263.27067 3.5102755 735.75
#> 80 7.442540288 259.38467 3.4584622 735.75
#> 81 7.537314357 255.55973 3.4074631 735.75
#> 82 7.631199631 251.79489 3.3572651 735.75
#> 83 7.724191855 248.08918 3.3078558 735.75
#> 84 7.816287399 244.44168 3.2592225 735.75
#> 85 7.907483231 240.85147 3.2113529 735.75
#> 86 7.997776888 237.31762 3.1642349 735.75
#> 87 8.087166456 233.83926 3.1178568 735.75
#> 88 8.175650542 230.41549 3.0722066 735.75
#> 89 8.263228252 227.04547 3.0272729 735.75
#> 90 8.349899169 223.72833 2.9830444 735.75
#> 91 8.435663330 220.46324 2.9395098 735.75
#> 92 8.520521206 217.24937 2.8966583 735.75
#> 93 8.604473684 214.08593 2.8544790 735.75
#> 94 8.687522040 210.97210 2.8129613 735.75
#> 95 8.769667931 207.90710 2.7720947 735.75
#> 96 8.850913369 204.89017 2.7318690 735.75
#> 97 8.931260704 201.92054 2.6922739 735.75
#> 98 9.010712614 198.99747 2.6532996 735.75
#> 99 9.089272080 196.12022 2.6149363 735.75
#> 100 9.166942377 193.28807 2.5771742 735.75
#> 101 9.243727056 190.50030 2.5400040 735.75
#> 102 9.319629930 187.75621 2.5034162 735.75
#> 103 9.394655060 185.05513 2.4674017 735.75
#> 104 9.468806742 182.39635 2.4319514 735.75
#> 105 9.542089496 179.77923 2.3970564 735.75
#> 106 9.614508049 177.20311 2.3627081 735.75
#> 107 9.686067328 174.66732 2.3288977 735.75
#> 108 9.756772445 172.17125 2.2956167 735.75
#> 109 9.826628689 169.71427 2.2628569 735.75
#> 110 9.895641510 167.29575 2.2306100 735.75
#> 111 9.963816518 164.91510 2.1988680 735.75
#> 112 10.031159464 162.57171 2.1676228 735.75
#> 113 10.097676235 160.26501 2.1368667 735.75
#> 114 10.163372844 157.99440 2.1065920 735.75
#> 115 10.228255424 155.75933 2.0767911 735.75
#> 116 10.292330214 153.55924 2.0474565 735.75
#> 117 10.355603557 151.39356 2.0185809 735.75
#> 118 10.418081887 149.26178 1.9901570 735.75
#> 119 10.479771726 147.16334 1.9621778 735.75
#> 120 10.540679675 145.09773 1.9346363 735.75
#> 121 10.600812407 143.06442 1.9075256 735.75
#> 122 10.660176659 141.06292 1.8808389 735.75
#> 123 10.718779231 139.09272 1.8545696 735.75
#> 124 10.776626973 137.15333 1.8287110 735.75
#> 125 10.833726785 135.24426 1.8032568 735.75
#> 126 10.890085608 133.36504 1.7782006 735.75
#> 127 10.945710421 131.51520 1.7535360 735.75
#> 128 11.000608235 129.69428 1.7292571 735.75
#> 129 11.054786085 127.90183 1.7053577 735.75
#> 130 11.108251033 126.13739 1.6818318 735.75
#> 131 11.161010156 124.40053 1.6586737 735.75
#> 132 11.213070546 122.69081 1.6358774 735.75
#> 133 11.264439304 121.00781 1.6134374 735.75
#> 134 11.315123537 119.35111 1.5913481 735.75
#> 135 11.365130356 117.72029 1.5696039 735.75
#> 136 11.414466867 116.11496 1.5481994 735.75
#> 137 11.463140176 114.53470 1.5271293 735.75
#> 138 11.511157377 112.97913 1.5063884 735.75
#> 139 11.558525555 111.44786 1.4859715 735.75
#> 140 11.605251782 109.94051 1.4658735 735.75
#> 141 11.651343111 108.45671 1.4460894 735.75
#> 142 11.696806578 106.99607 1.4266143 735.75
#> 143 11.741649196 105.55825 1.4074433 735.75
#> 144 11.785877955 104.14288 1.3885718 735.75
#> 145 11.829499819 102.74962 1.3699949 735.75
#> 146 11.872521720 101.37810 1.3517081 735.75
#> 147 11.914950565 100.02801 1.3337068 735.75
#> 148 11.956793224 98.69899 1.3159865 735.75
#> 149 11.998056535 97.39072 1.2985429 735.75
#> 150 12.038747301 96.10287 1.2813716 735.75
#> 151 12.078872284 94.83513 1.2644684 735.75
#> 152 12.118438211 93.58717 1.2478290 735.75
#> 153 12.157451765 92.35870 1.2314493 735.75
#> 154 12.195919590 91.14940 1.2153253 735.75
#> 155 12.233848285 89.95897 1.1994529 735.75
#> 156 12.271244405 88.78712 1.1838282 735.75
#> 157 12.308114461 87.63355 1.1684474 735.75
#> 158 12.344464916 86.49799 1.1533066 735.75
#> 159 12.380302186 85.38015 1.1384020 735.75
#> 160 12.415632639 84.27975 1.1237300 735.75
#> 161 12.450462593 83.19652 1.1092869 735.75
#> 162 12.484798316 82.13019 1.0950692 735.75
#> 163 12.518646028 81.08050 1.0810733 735.75
#> 164 12.552011894 80.04718 1.0672957 735.75
#> 165 12.584902029 79.02998 1.0537331 735.75
#> 166 12.617322496 78.02865 1.0403820 735.75
#> 167 12.649279304 77.04294 1.0272392 735.75
#> 168 12.680778408 76.07260 1.0143013 735.75
#> 169 12.711825711 75.11740 1.0015653 735.75
#> 170 12.742427061 74.17709 0.9890279 735.75
#> 171 12.772588250 73.25146 0.9766861 735.75
#> 172 12.802315018 72.34025 0.9645367 735.75
#> 173 12.831613048 71.44326 0.9525768 735.75
#> 174 12.860487968 70.56026 0.9408034 735.75
#> 175 12.888945351 69.69102 0.9292136 735.75
#> 176 12.916990715 68.83534 0.9178046 735.75
#> 177 12.944629520 67.99300 0.9065734 735.75
#> 178 12.971867175 67.16380 0.8955173 735.75
#> 179 12.998709027 66.34753 0.8846337 735.75
#> 180 13.025160373 65.54398 0.8739197 735.75
#> 181 13.051226451 64.75296 0.8633727 735.75
#> 182 13.076912444 63.97427 0.8529902 735.75
#> 183 13.102223481 63.20772 0.8427696 735.75
#> 184 13.127164632 62.45312 0.8327082 735.75
#> 185 13.151740914 61.71028 0.8228038 735.75
#> 186 13.175957290 60.97903 0.8130537 735.75
#> 187 13.199818665 60.25917 0.8034556 735.75
#> 188 13.223329890 59.55053 0.7940071 735.75
#> 189 13.246495763 58.85294 0.7847059 735.75
#> 190 13.269321025 58.16622 0.7755496 735.75
#> 191 13.291810364 57.49020 0.7665361 735.75
#> 192 13.313968415 56.82472 0.7576630 735.75
#> 193 13.335799756 56.16962 0.7489282 735.75
#> 194 13.357308914 55.52472 0.7403296 735.75
#> 195 13.378500363 54.88987 0.7318649 735.75
#> 196 13.399378523 54.26491 0.7235322 735.75
#> 197 13.419947760 53.64970 0.7153293 735.75
#> 198 13.440212392 53.04407 0.7072542 735.75
#> 199 13.460176680 52.44788 0.6993050 735.75
#> 200 13.479844837 51.86097 0.6914797 735.75
#> 201 13.499221023 51.28322 0.6837762 735.75
#> 202 13.518309347 50.71446 0.6761928 735.75
#> 203 13.537113869 50.15457 0.6687276 735.75
#> 204 13.555638596 49.60340 0.6613787 735.75
#> 205 13.573887489 49.06082 0.6541443 735.75
#> 206 13.591864455 48.52669 0.6470226 735.75
#> 207 13.609573357 48.00089 0.6400118 735.75
#> 208 13.627018005 47.48327 0.6331103 735.75
#> 209 13.644202163 46.97372 0.6263163 735.75
#> 210 13.661129547 46.47211 0.6196281 735.75
#> 211 13.677803825 45.97831 0.6130441 735.75
#> 212 13.694228619 45.49220 0.6065627 735.75
#> 213 13.710407503 45.01367 0.6001823 735.75
#> 214 13.726344006 44.54259 0.5939012 735.75
#> 215 13.742041611 44.07885 0.5877180 735.75
#> 216 13.757503755 43.62233 0.5816311 735.75
#> 217 13.772733832 43.17293 0.5756390 735.75
#> 218 13.787735189 42.73052 0.5697403 735.75
#> 219 13.802511131 42.29500 0.5639334 735.75
#> 220 13.817064919 41.86627 0.5582170 735.75
#> 221 13.831399770 41.44422 0.5525896 735.75
#> 222 13.845518860 41.02874 0.5470498 735.75
#> 223 13.859425320 40.61973 0.5415964 735.75
#> 224 13.873122242 40.21709 0.5362278 735.75
#> 225 13.886612676 39.82072 0.5309429 735.75
#> 226 13.899899629 39.43052 0.5257403 735.75
#> 227 13.912986070 39.04641 0.5206187 735.75
#> 228 13.925874927 38.66827 0.5155769 735.75
#> 229 13.938569088 38.29602 0.5106136 735.75
#> 230 13.951071402 37.92957 0.5057276 735.75
#> 231 13.963384680 37.56883 0.5009177 735.75
#> 232 13.975511694 37.21370 0.4961827 735.75
#> 233 13.987455177 36.86410 0.4915214 735.75
#> 234 13.999217826 36.51995 0.4869327 735.75
#> 235 14.010802302 36.18116 0.4824155 735.75
#> 236 14.022211226 35.84764 0.4779686 735.75
#> 237 14.033447186 35.51932 0.4735909 735.75
#> 238 14.044512732 35.19611 0.4692814 735.75
#> 239 14.055410381 34.87793 0.4650391 735.75
#> 240 14.066142612 34.56471 0.4608627 735.75
#> 241 14.076711872 34.25636 0.4567514 735.75
#> 242 14.087120573 33.95281 0.4527042 735.75
#> 243 14.097371093 33.65399 0.4487199 735.75
#> 244 14.107465777 33.35983 0.4447977 735.75
#> 245 14.117406938 33.07024 0.4409365 735.75
#> 246 14.127196854 32.78516 0.4371355 735.75
#> 247 14.136837773 32.50452 0.4333936 735.75
#> 248 14.146331911 32.22825 0.4297100 735.75
#> 249 14.155681452 31.95628 0.4260838 735.75
#> 250 14.164888551 31.68855 0.4225140 735.75
#> 251 14.173955329 31.42498 0.4189998 735.75
#> 252 14.182883880 31.16552 0.4155403 735.75
#> 253 14.191676267 30.91010 0.4121346 735.75
#> 254 14.200334523 30.65865 0.4087820 735.75
#> 255 14.208860653 30.41112 0.4054816 735.75
#> 256 14.217256633 30.16744 0.4022325 735.75
#> 257 14.225524411 29.92755 0.3990341 735.75
#> 258 14.233665907 29.69140 0.3958854 735.75
#> 259 14.241683012 29.45893 0.3927857 735.75
#> 260 14.249577592 29.23008 0.3897343 735.75
#> 261 14.257351485 29.00478 0.3867304 735.75
#> 262 14.265006503 28.78300 0.3837733 735.75
#> 263 14.272544431 28.56466 0.3808622 735.75
#> 264 14.279967029 28.34973 0.3779964 735.75
#> 265 14.287276031 28.13814 0.3751752 735.75
#> 266 14.294473146 27.92985 0.3723980 735.75
#> 267 14.301560059 27.72480 0.3696639 735.75
#> 268 14.308538429 27.52294 0.3669725 735.75
#> 269 14.315409892 27.32422 0.3643229 735.75
#> 270 14.322176061 27.12859 0.3617146 735.75
#> 271 14.328838523 26.93601 0.3591469 735.75
#> 272 14.335398844 26.74643 0.3566191 735.75
#> 273 14.341858567 26.55980 0.3541307 735.75
#> 274 14.348219210 26.37608 0.3516810 735.75
#> 275 14.354482272 26.19521 0.3492695 735.75
#> 276 14.360649229 26.01716 0.3468954 735.75
#> 277 14.366721533 25.84188 0.3445584 735.75
#> 278 14.372700619 25.66933 0.3422577 735.75
#> 279 14.378587897 25.49946 0.3399928 735.75
#> 280 14.384384758 25.33224 0.3377632 735.75
#> 281 14.390092573 25.16762 0.3355683 735.75
#> 282 14.395712692 25.00557 0.3334075 735.75
#> 283 14.401246445 24.84603 0.3312804 735.75
#> 284 14.406695143 24.68898 0.3291864 735.75
#> 285 14.412060076 24.53437 0.3271250 735.75
#> 286 14.417342518 24.38217 0.3250956 735.75
#> 287 14.422543721 24.23234 0.3230979 735.75
#> 288 14.427664920 24.08484 0.3211312 735.75
#> 289 14.432707331 23.93964 0.3191952 735.75
#> 290 14.437672153 23.79669 0.3172893 735.75
#> 291 14.442560567 23.65598 0.3154130 735.75
#> 292 14.447373735 23.51745 0.3135660 735.75
#> 293 14.452112803 23.38107 0.3117476 735.75
#> 294 14.456778899 23.24682 0.3099576 735.75
#> 295 14.461373137 23.11466 0.3081955 735.75
#> 296 14.465896610 22.98456 0.3064608 735.75
#> 297 14.470350398 22.85648 0.3047530 735.75
#> 298 14.474735563 22.73039 0.3030719 735.75
#> 299 14.479053154 22.60627 0.3014169 735.75
#> 300 14.483304200 22.48408 0.2997877 735.75
#> 301 14.487489718 22.36379 0.2981838 735.75
#> 302 14.491610708 22.24537 0.2966049 735.75
#> 303 14.495668156 22.12879 0.2950506 735.75
#> 304 14.499663034 22.01403 0.2935204 735.75
#> 305 14.503596297 21.90106 0.2920141 735.75
#> 306 14.507468887 21.78984 0.2905312 735.75
#> 307 14.511281732 21.68035 0.2890714 735.75
#> 308 14.515035747 21.57257 0.2876343 735.75
#> 309 14.518731831 21.46647 0.2862195 735.75
#> 310 14.522370871 21.36201 0.2848268 735.75
#> 311 14.525953740 21.25918 0.2834558 735.75
#> 312 14.529481299 21.15796 0.2821061 735.75
#> 313 14.532954394 21.05830 0.2807774 735.75
#> 314 14.536373861 20.96020 0.2794694 735.75
#> 315 14.539740520 20.86363 0.2781817 735.75
#> 316 14.543055182 20.76855 0.2769141 735.75
#> 317 14.546318643 20.67496 0.2756662 735.75
#> 318 14.549531689 20.58283 0.2744377 735.75
#> 319 14.552695093 20.49212 0.2732283 735.75
#> 320 14.555809616 20.40283 0.2720378 735.75
#> 321 14.558876010 20.31493 0.2708657 735.75
#> 322 14.561895012 20.22840 0.2697120 735.75
#> 323 14.564867350 20.14321 0.2685761 735.75
#> 324 14.567793741 20.05935 0.2674580 735.75
#> 325 14.570674890 19.97679 0.2663572 735.75
#> 326 14.573511493 19.89552 0.2652736 735.75
#> 327 14.576304234 19.81551 0.2642068 735.75
#> 328 14.579053786 19.73675 0.2631567 735.75
#> 329 14.581760814 19.65921 0.2621229 735.75
#> 330 14.584425972 19.58289 0.2611051 735.75
#> 331 14.587049903 19.50774 0.2601032 735.75
#> 332 14.589633242 19.43377 0.2591169 735.75
#> 333 14.592176613 19.36095 0.2581460 735.75
#> 334 14.594680630 19.28926 0.2571901 735.75
#> 335 14.597145900 19.21869 0.2562492 735.75
#> 336 14.599573018 19.14921 0.2553228 735.75
#> 337 14.601962573 19.08082 0.2544109 735.75
#> 338 14.604315141 19.01349 0.2535132 735.75
#> 339 14.606631294 18.94721 0.2526294 735.75
#> 340 14.608911592 18.88196 0.2517594 735.75
#> 341 14.611156586 18.81772 0.2509030 735.75
#> 342 14.613366821 18.75449 0.2500598 735.75
#> 343 14.615542833 18.69224 0.2492298 735.75
#> 344 14.617685149 18.63095 0.2484127 735.75
#> 345 14.619794288 18.57062 0.2476083 735.75
#> 346 14.621870762 18.51123 0.2468164 735.75
#> 347 14.623915073 18.45277 0.2460369 735.75
#> 348 14.625927720 18.39521 0.2452695 735.75
#> 349 14.627909188 18.33855 0.2445140 735.75
#> 350 14.629859960 18.28277 0.2437703 735.75
#> 351 14.631780509 18.22786 0.2430381 735.75
#> 352 14.633671302 18.17380 0.2423174 735.75
#> 353 14.635532796 18.12059 0.2416078 735.75
#> 354 14.637365446 18.06820 0.2409093 735.75
#> 355 14.639169695 18.01663 0.2402217 735.75
#> 356 14.640945982 17.96586 0.2395447 735.75
#> 357 14.642694739 17.91588 0.2388783 735.75
#> 358 14.644416391 17.86667 0.2382223 735.75
#> 359 14.646111356 17.81824 0.2375765 735.75
#> 360 14.647780047 17.77055 0.2369407 735.75
#> 361 14.649422869 17.72361 0.2363148 735.75
#> 362 14.651040222 17.67740 0.2356987 735.75
#> 363 14.652632500 17.63191 0.2350921 735.75
#> 364 14.654200089 17.58713 0.2344950 735.75
#> 365 14.655743372 17.54304 0.2339072 735.75
#> 366 14.657262724 17.49964 0.2333285 735.75
#> 367 14.658758515 17.45691 0.2327588 735.75
#> 368 14.660231109 17.41485 0.2321980 735.75
#> 369 14.661680864 17.37344 0.2316459 735.75
#> 370 14.663108135 17.33268 0.2311024 735.75
#> 371 14.664513267 17.29255 0.2305674 735.75
#> 372 14.665896605 17.25305 0.2300407 735.75
#> 373 14.667258484 17.21416 0.2295221 735.75
#> 374 14.668599237 17.17588 0.2290117 735.75
#> 375 14.669919190 17.13819 0.2285092 735.75
#> 376 14.671218665 17.10109 0.2280145 735.75
#> 377 14.672497980 17.06456 0.2275275 735.75
#> 378 14.673757445 17.02861 0.2270481 735.75
#> 379 14.674997369 16.99321 0.2265761 735.75
#> 380 14.676218052 16.95836 0.2261115 735.75
#> 381 14.677419795 16.92406 0.2256541 735.75
#> 382 14.678602888 16.89029 0.2252039 735.75
#> 383 14.679767622 16.85704 0.2247606 735.75
#> 384 14.680914279 16.82432 0.2243242 735.75
#> 385 14.682043141 16.79210 0.2238947 735.75
#> 386 14.683154483 16.76038 0.2234718 735.75
#> 387 14.684248575 16.72916 0.2230554 735.75
#> 388 14.685325685 16.69842 0.2226456 735.75
#> 389 14.686386076 16.66816 0.2222422 735.75
#> 390 14.687430007 16.63837 0.2218450 735.75
#> 391 14.688457733 16.60905 0.2214540 735.75
#> 392 14.689469504 16.58018 0.2210691 735.75
#> 393 14.690465569 16.55176 0.2206901 735.75
#> 394 14.691446169 16.52378 0.2203171 735.75
#> 395 14.692411546 16.49624 0.2199499 735.75
#> 396 14.693361934 16.46913 0.2195884 735.75
#> 397 14.694297566 16.44244 0.2192325 735.75
#> 398 14.695218670 16.41616 0.2188821 735.75
#> 399 14.696125473 16.39029 0.2185372 735.75
#> 400 14.697018194 16.36483 0.2181977 735.75
#> 401 14.697897053 16.33976 0.2178634 735.75
#> 402 14.698762265 16.31508 0.2175344 735.75
#> 403 14.699614040 16.29078 0.2172104 735.75
#> 404 14.700452588 16.26687 0.2168916 735.75
#> 405 14.701278113 16.24332 0.2165776 735.75
#> 406 14.702090817 16.22014 0.2162686 735.75
#> 407 14.702890899 16.19733 0.2159643 735.75
#> 408 14.703678554 16.17486 0.2156648 735.75
#> 409 14.704453976 16.15275 0.2153700 735.75
#> 410 14.705217354 16.13098 0.2150797 735.75
#> 411 14.705968874 16.10955 0.2147940 735.75
#> 412 14.706708721 16.08845 0.2145127 735.75
#> 413 14.707437076 16.06768 0.2142358 735.75
#> 414 14.708154117 16.04724 0.2139632 735.75
#> 415 14.708860019 16.02711 0.2136948 735.75
#> 416 14.709554955 16.00730 0.2134306 735.75
#> 417 14.710239095 15.98779 0.2131705 735.75
#> 418 14.710912607 15.96859 0.2129145 735.75
#> 419 14.711575656 15.94968 0.2126625 735.75
#> 420 14.712228403 15.93107 0.2124143 735.75
#> 421 14.712871010 15.91275 0.2121701 735.75
#> 422 14.713503632 15.89472 0.2119296 735.75
#> 423 14.714126425 15.87696 0.2116929 735.75
#> 424 14.714739542 15.85949 0.2114598 735.75
#> 425 14.715343132 15.84228 0.2112304 735.75
#> 426 14.715937344 15.82534 0.2110046 735.75
#> 427 14.716522323 15.80867 0.2107822 735.75
#> 428 14.717098212 15.79225 0.2105633 735.75
#> 429 14.717665152 15.77609 0.2103479 735.75
#> 430 14.718223283 15.76018 0.2101358 735.75
#> 431 14.718772740 15.74452 0.2099269 735.75
#> 432 14.719313659 15.72910 0.2097214 735.75
#> 433 14.719846173 15.71392 0.2095190 735.75
#> 434 14.720370410 15.69898 0.2093198 735.75
#> 435 14.720886501 15.68427 0.2091237 735.75
#> 436 14.721394572 15.66979 0.2089306 735.75
#> 437 14.721894746 15.65554 0.2087405 735.75
#> 438 14.722387147 15.64151 0.2085534 735.75
#> 439 14.722871895 15.62769 0.2083692 735.75
#> 440 14.723349109 15.61409 0.2081879 735.75
#> 441 14.723818907 15.60070 0.2080094 735.75
#> 442 14.724281402 15.58752 0.2078336 735.75
#> 443 14.724736709 15.57455 0.2076606 735.75
#> 444 14.725184940 15.56177 0.2074903 735.75
#> 445 14.725626203 15.54920 0.2073227 735.75
#> 446 14.726060608 15.53682 0.2071576 735.75
#> 447 14.726488261 15.52463 0.2069951 735.75
#> 448 14.726909266 15.51264 0.2068352 735.75
#> 449 14.727323727 15.50083 0.2066777 735.75
#> 450 14.727731746 15.48920 0.2065227 735.75
#> 451 14.728133422 15.47776 0.2063701 735.75
#> 452 14.728528854 15.46649 0.2062199 735.75
#> 453 14.728918139 15.45540 0.2060720 735.75
#> 454 14.729301373 15.44448 0.2059264 735.75
#> 455 14.729678650 15.43373 0.2057831 735.75
#> 456 14.730050061 15.42315 0.2056420 735.75
#> 457 14.730415699 15.41273 0.2055031 735.75
#> 458 14.730775652 15.40247 0.2053663 735.75
#> 459 14.731130010 15.39238 0.2052317 735.75
#> 460 14.731478858 15.38244 0.2050992 735.75
#> 461 14.731822284 15.37265 0.2049687 735.75
#> 462 14.732160370 15.36302 0.2048403 735.75
#> 463 14.732493200 15.35354 0.2047139 735.75
#> 464 14.732820856 15.34421 0.2045894 735.75
#> 465 14.733143417 15.33502 0.2044669 735.75
#> 466 14.733460964 15.32597 0.2043463 735.75
#> 467 14.733773573 15.31706 0.2042275 735.75
#> 468 14.734081322 15.30830 0.2041106 735.75
#> 469 14.734384287 15.29967 0.2039956 735.75
#> 470 14.734682541 15.29117 0.2038823 735.75
#> 471 14.734976157 15.28281 0.2037708 735.75
#> 472 14.735265209 15.27457 0.2036610 735.75
#> 473 14.735549766 15.26647 0.2035529 735.75
#> 474 14.735829898 15.25849 0.2034465 735.75
#> 475 14.736105675 15.25063 0.2033417 735.75
#> 476 14.736377164 15.24290 0.2032386 735.75
#> 477 14.736644432 15.23528 0.2031371 735.75
#> 478 14.736907543 15.22779 0.2030372 735.75
#> 479 14.737166564 15.22041 0.2029388 735.75
#> 480 14.737421557 15.21315 0.2028420 735.75
#> 481 14.737672585 15.20600 0.2027466 735.75
#> 482 14.737919709 15.19896 0.2026528 735.75
#> 483 14.738162991 15.19203 0.2025604 735.75
#> 484 14.738402490 15.18521 0.2024694 735.75
#> 485 14.738638265 15.17849 0.2023799 735.75
#> 486 14.738870373 15.17188 0.2022917 735.75
#> 487 14.739098872 15.16537 0.2022050 735.75
#> 488 14.739323817 15.15897 0.2021195 735.75
#> 489 14.739545265 15.15266 0.2020354 735.75
#> 490 14.739763269 15.14645 0.2019527 735.75
#> 491 14.739977883 15.14034 0.2018711 735.75
#> 492 14.740189159 15.13432 0.2017909 735.75
#> 493 14.740397150 15.12839 0.2017119 735.75
#> 494 14.740601906 15.12256 0.2016342 735.75
#> 495 14.740803479 15.11682 0.2015576 735.75
#> 496 14.741001916 15.11117 0.2014823 735.75
#> 497 14.741197267 15.10561 0.2014081 735.75
#> 498 14.741389581 15.10013 0.2013351 735.75
#> 499 14.741578904 15.09474 0.2012632 735.75
#> 500 14.741765282 15.08943 0.2011924 735.75
#> 501 14.741948762 15.08420 0.2011227 735.75
#> 502 14.742129388 15.07906 0.2010541 735.75
#> 503 14.742307205 15.07400 0.2009866 735.75
#> 504 14.742482257 15.06901 0.2009201 735.75
#> 505 14.742654587 15.06410 0.2008547 735.75
#> 506 14.742824236 15.05927 0.2007903 735.75
#> 507 14.742991247 15.05451 0.2007269 735.75
#> 508 14.743155660 15.04983 0.2006644 735.75
#> 509 14.743317517 15.04522 0.2006030 735.75
#> 510 14.743476856 15.04069 0.2005425 735.75
#> 511 14.743633717 15.03622 0.2004829 735.75
#> 512 14.743788138 15.03182 0.2004243 735.75
#> 513 14.743940158 15.02749 0.2003666 735.75
#> 514 14.744089813 15.02323 0.2003097 735.75
#> 515 14.744237141 15.01903 0.2002538 735.75
#> 516 14.744382177 15.01490 0.2001987 735.75
#> 517 14.744524957 15.01084 0.2001445 735.75
#> 518 14.744665517 15.00684 0.2000911 735.75
#> 519 14.744803891 15.00289 0.2000386 735.75
#> 520 14.744940112 14.99902 0.1999869 735.75
#> 521 14.745074215 14.99520 0.1999360 735.75
#> 522 14.745206232 14.99144 0.1998858 735.75
#> 523 14.745336195 14.98774 0.1998365 735.75
#> 524 14.745464138 14.98409 0.1997879 735.75
#> 525 14.745590090 14.98051 0.1997401 735.75
#> 526 14.745714083 14.97698 0.1996930 735.75
#> 527 14.745836148 14.97350 0.1996467 735.75
#> 528 14.745956314 14.97008 0.1996010 735.75
#> 529 14.746074611 14.96671 0.1995561 735.75
#> 530 14.746191068 14.96339 0.1995119 735.75
#> 531 14.746305713 14.96013 0.1994684 735.75
#> 532 14.746418576 14.95691 0.1994255 735.75
#> 533 14.746529682 14.95375 0.1993833 735.75
#> 534 14.746639061 14.95064 0.1993418 735.75
#> 535 14.746746738 14.94757 0.1993009 735.75
#> 536 14.746852741 14.94455 0.1992607 735.75
#> 537 14.746957095 14.94158 0.1992211 735.75
#> 538 14.747059825 14.93866 0.1991821 735.75
#> 539 14.747160958 14.93578 0.1991437 735.75
#> 540 14.747260517 14.93294 0.1991059 735.75
#> 541 14.747358528 14.93015 0.1990687 735.75
#> 542 14.747455015 14.92740 0.1990320 735.75
#> 543 14.747550000 14.92470 0.1989960 735.75
#> 544 14.747643508 14.92204 0.1989605 735.75
#> 545 14.747735562 14.91941 0.1989255 735.75
#> 546 14.747826183 14.91683 0.1988911 735.75
#> 547 14.747915395 14.91429 0.1988572 735.75
#> 548 14.748003220 14.91179 0.1988239 735.75
#> 549 14.748089678 14.90933 0.1987911 735.75
#> 550 14.748174791 14.90691 0.1987588 735.75
#> 551 14.748258581 14.90452 0.1987270 735.75
#> 552 14.748341067 14.90217 0.1986956 735.75
#> 553 14.748422270 14.89986 0.1986648 735.75
#> 554 14.748502209 14.89759 0.1986345 735.75
#> 555 14.748580906 14.89534 0.1986046 735.75
#> 556 14.748658378 14.89314 0.1985752 735.75
#> 557 14.748734645 14.89097 0.1985462 735.75
#> 558 14.748809726 14.88883 0.1985177 735.75
#> 559 14.748883639 14.88672 0.1984897 735.75
#> 560 14.748956402 14.88465 0.1984620 735.75
#> 561 14.749028033 14.88261 0.1984348 735.75
#> 562 14.749098550 14.88061 0.1984081 735.75
#> 563 14.749167970 14.87863 0.1983817 735.75
#> 564 14.749236310 14.87668 0.1983558 735.75
#> 565 14.749303587 14.87477 0.1983302 735.75
#> 566 14.749369817 14.87288 0.1983051 735.75
#> 567 14.749435017 14.87103 0.1982803 735.75
#> 568 14.749499203 14.86920 0.1982560 735.75
#> 569 14.749562391 14.86740 0.1982320 735.75
#> 570 14.749624595 14.86563 0.1982084 735.75
#> 571 14.749685832 14.86388 0.1981851 735.75
#> 572 14.749746116 14.86217 0.1981622 735.75
#> 573 14.749805463 14.86048 0.1981397 735.75
#> 574 14.749863886 14.85881 0.1981175 735.75
#> 575 14.749921401 14.85718 0.1980957 735.75
#> 576 14.749978020 14.85557 0.1980742 735.75
#> 577 14.750033759 14.85398 0.1980530 735.75
#> 578 14.750088631 14.85242 0.1980322 735.75
#> 579 14.750142650 14.85088 0.1980117 735.75
#> 580 14.750195828 14.84936 0.1979915 735.75
#> 581 14.750248178 14.84787 0.1979716 735.75
#> 582 14.750299715 14.84641 0.1979521 735.75
#> 583 14.750350449 14.84496 0.1979328 735.75
#> 584 14.750400395 14.84354 0.1979139 735.75
#> 585 14.750449563 14.84214 0.1978952 735.75
#> 586 14.750497967 14.84076 0.1978768 735.75
#> 587 14.750545617 14.83940 0.1978587 735.75
#> 588 14.750592527 14.83807 0.1978409 735.75
#> 589 14.750638706 14.83675 0.1978234 735.75
#> 590 14.750684167 14.83546 0.1978061 735.75
#> 591 14.750728921 14.83419 0.1977891 735.75
#> 592 14.750772979 14.83293 0.1977724 735.75
#> 593 14.750816351 14.83170 0.1977560 735.75
#> 594 14.750859049 14.83048 0.1977397 735.75
#> 595 14.750901082 14.82928 0.1977238 735.75
#> 596 14.750942462 14.82811 0.1977081 735.75
#> 597 14.750983198 14.82695 0.1976926 735.75
#> 598 14.751023300 14.82580 0.1976774 735.75
#> 599 14.751062778 14.82468 0.1976624 735.75
#> 600 14.751101642 14.82357 0.1976477 735.75
#> 601 14.751139902 14.82249 0.1976331 735.75
#> resultant_force resultant_force_relative power power_relative
#> 1 1139.0317 15.187090 0.00000 0.000000
#> 2 1128.7412 15.049882 98.46671 1.312890
#> 3 1118.6833 14.915777 192.36384 2.564851
#> 4 1108.8538 14.784717 281.85855 3.758114
#> 5 1099.2485 14.656647 367.11235 4.894831
#> 6 1089.8635 14.531513 448.28126 5.977083
#> 7 1080.6946 14.409261 525.51598 7.006880
#> 8 1071.7378 14.289838 598.96211 7.986161
#> 9 1062.9893 14.173191 668.76027 8.916804
#> 10 1054.4451 14.059268 735.04629 9.800617
#> 11 1046.1013 13.948018 797.95139 10.639352
#> 12 1037.9543 13.839390 857.60228 11.434697
#> 13 1030.0001 13.733334 914.12135 12.188285
#> 14 1022.2351 13.629801 967.62679 12.901691
#> 15 1014.6556 13.528742 1018.23276 13.576437
#> 16 1007.2581 13.430108 1066.04949 14.213993
#> 17 1000.0389 13.333852 1111.18342 14.815779
#> 18 992.9945 13.239926 1153.73736 15.383165
#> 19 986.1214 13.148285 1193.81053 15.917474
#> 20 979.4162 13.058882 1231.49878 16.419984
#> 21 972.8754 12.971673 1266.89463 16.891928
#> 22 966.4958 12.886611 1300.08739 17.334499
#> 23 960.2741 12.803654 1331.16330 17.748844
#> 24 954.2069 12.722758 1360.20560 18.136075
#> 25 948.2910 12.643880 1387.29464 18.497262
#> 26 942.5233 12.566978 1412.50799 18.833440
#> 27 936.9007 12.492009 1435.92049 19.145607
#> 28 931.4200 12.418933 1457.60441 19.434725
#> 29 926.0782 12.347709 1477.62946 19.701726
#> 30 920.8723 12.278297 1496.06293 19.947506
#> 31 915.7994 12.210658 1512.96974 20.172930
#> 32 910.8565 12.144754 1528.41255 20.378834
#> 33 906.0408 12.080545 1542.45179 20.566024
#> 34 901.3495 12.017994 1555.14578 20.735277
#> 35 896.7798 11.957064 1566.55077 20.887344
#> 36 892.3289 11.897719 1576.72103 21.022947
#> 37 887.9942 11.839922 1585.70888 21.142785
#> 38 883.7730 11.783639 1593.56482 21.247531
#> 39 879.6627 11.728835 1600.33753 21.337834
#> 40 875.6607 11.675476 1606.07395 21.414319
#> 41 871.7646 11.623527 1610.81935 21.477591
#> 42 867.9718 11.572957 1614.61736 21.528232
#> 43 864.2799 11.523732 1617.51008 21.566801
#> 44 860.6866 11.475821 1619.53806 21.593841
#> 45 857.1895 11.429193 1620.74038 21.609872
#> 46 853.7862 11.383817 1621.15475 21.615397
#> 47 850.4746 11.339662 1620.81746 21.610900
#> 48 847.2524 11.296699 1619.76352 21.596847
#> 49 844.1174 11.254899 1618.02662 21.573688
#> 50 841.0675 11.214234 1615.63926 21.541857
#> 51 838.1006 11.174675 1612.63273 21.501770
#> 52 835.2147 11.136196 1609.03716 21.453829
#> 53 832.4076 11.098769 1604.88156 21.398421
#> 54 829.6776 11.062368 1600.19390 21.335919
#> 55 827.0225 11.026967 1595.00108 21.266681
#> 56 824.4406 10.992541 1589.32901 21.191054
#> 57 821.9299 10.959065 1583.20263 21.109368
#> 58 819.4887 10.926516 1576.64592 21.021946
#> 59 817.1151 10.894868 1569.68200 20.929093
#> 60 814.8075 10.864100 1562.33308 20.831108
#> 61 812.5641 10.834188 1554.62054 20.728274
#> 62 810.3833 10.805110 1546.56495 20.620866
#> 63 808.2633 10.776845 1538.18608 20.509148
#> 64 806.2028 10.749370 1529.50294 20.393373
#> 65 804.2000 10.722666 1520.53383 20.273784
#> 66 802.2534 10.696712 1511.29631 20.150617
#> 67 800.3616 10.671488 1501.80727 20.024097
#> 68 798.5231 10.646975 1492.08294 19.894439
#> 69 796.7365 10.623154 1482.13892 19.761852
#> 70 795.0004 10.600006 1471.99017 19.626536
#> 71 793.3134 10.577513 1461.65108 19.488681
#> 72 791.6743 10.555657 1451.13546 19.348473
#> 73 790.0817 10.534422 1440.45655 19.206087
#> 74 788.5343 10.513790 1429.62708 19.061694
#> 75 787.0309 10.493746 1418.65925 18.915457
#> 76 785.5704 10.474272 1407.56475 18.767530
#> 77 784.1516 10.455354 1396.35482 18.618064
#> 78 782.7732 10.436976 1385.04021 18.467203
#> 79 781.4343 10.419123 1373.63124 18.315083
#> 80 780.1336 10.401782 1362.13779 18.161837
#> 81 778.8702 10.384936 1350.56932 18.007591
#> 82 777.6431 10.368574 1338.93489 17.852465
#> 83 776.4511 10.352681 1327.24318 17.696576
#> 84 775.2934 10.337245 1315.50249 17.540033
#> 85 774.1689 10.322252 1303.72076 17.382943
#> 86 773.0768 10.307690 1291.90558 17.225408
#> 87 772.0161 10.293548 1280.06422 17.067523
#> 88 770.9860 10.279813 1268.20361 16.909381
#> 89 769.9855 10.266474 1256.33036 16.751072
#> 90 769.0139 10.253519 1244.45082 16.592678
#> 91 768.0704 10.240938 1232.57100 16.434280
#> 92 767.1541 10.228721 1220.69667 16.275956
#> 93 766.2642 10.216856 1208.83331 16.117778
#> 94 765.4001 10.205334 1196.98616 15.959815
#> 95 764.5609 10.194146 1185.16017 15.802136
#> 96 763.7461 10.183281 1173.36011 15.644801
#> 97 762.9548 10.172730 1161.59046 15.487873
#> 98 762.1864 10.162485 1149.85552 15.331407
#> 99 761.4402 10.152536 1138.15935 15.175458
#> 100 760.7157 10.142876 1126.50582 15.020078
#> 101 760.0121 10.133495 1114.89858 14.865314
#> 102 759.3290 10.124386 1103.34111 14.711215
#> 103 758.6656 10.115541 1091.83669 14.557823
#> 104 758.0214 10.106952 1080.38843 14.405179
#> 105 757.3960 10.098613 1068.99928 14.253324
#> 106 756.7886 10.090515 1057.67200 14.102293
#> 107 756.1989 10.082652 1046.40921 13.952123
#> 108 755.6262 10.075016 1035.21338 13.802845
#> 109 755.0702 10.067603 1024.08681 13.654491
#> 110 754.5303 10.060404 1013.03170 13.507089
#> 111 754.0060 10.053413 1002.05007 13.360668
#> 112 753.4969 10.046626 991.14385 13.215251
#> 113 753.0026 10.040035 980.31482 13.070864
#> 114 752.5226 10.033635 969.56465 12.927529
#> 115 752.0565 10.027420 958.89488 12.785265
#> 116 751.6040 10.021386 948.30697 12.644093
#> 117 751.1645 10.015526 937.80225 12.504030
#> 118 750.7377 10.009836 927.38194 12.365093
#> 119 750.3233 10.004311 917.04720 12.227296
#> 120 749.9209 9.998946 906.79906 12.090654
#> 121 749.5302 9.993736 896.63847 11.955180
#> 122 749.1507 9.988676 886.56630 11.820884
#> 123 748.7822 9.983763 876.58333 11.687778
#> 124 748.4244 9.978992 866.69026 11.555870
#> 125 748.0769 9.974359 856.88774 11.425170
#> 126 747.7395 9.969859 847.17630 11.295684
#> 127 747.4117 9.965490 837.55644 11.167419
#> 128 747.0935 9.961246 828.02858 11.040381
#> 129 746.7844 9.957125 818.59307 10.914574
#> 130 746.4842 9.953123 809.25021 10.790003
#> 131 746.1927 9.949236 800.00023 10.666670
#> 132 745.9096 9.945461 790.84331 10.544578
#> 133 745.6346 9.941795 781.77959 10.423728
#> 134 745.3675 9.938234 772.80913 10.304122
#> 135 745.1081 9.934775 763.93196 10.185760
#> 136 744.8562 9.931416 755.14808 10.068641
#> 137 744.6115 9.928153 746.45741 9.952765
#> 138 744.3738 9.924984 737.85984 9.838131
#> 139 744.1429 9.921906 729.35524 9.724737
#> 140 743.9187 9.918916 720.94343 9.612579
#> 141 743.7008 9.916011 712.62417 9.501656
#> 142 743.4892 9.913190 704.39723 9.391963
#> 143 743.2837 9.910449 696.26230 9.283497
#> 144 743.0840 9.907786 688.21908 9.176254
#> 145 742.8900 9.905200 680.26722 9.070230
#> 146 742.7015 9.902687 672.40634 8.965418
#> 147 742.5185 9.900246 664.63603 8.861814
#> 148 742.3406 9.897875 656.95588 8.759412
#> 149 742.1678 9.895570 649.36543 8.658206
#> 150 741.9999 9.893332 641.86420 8.558189
#> 151 741.8368 9.891157 634.45171 8.459356
#> 152 741.6782 9.889043 627.12743 8.361699
#> 153 741.5242 9.886990 619.89084 8.265211
#> 154 741.3746 9.884994 612.74138 8.169885
#> 155 741.2292 9.883056 605.67849 8.075713
#> 156 741.0879 9.881171 598.70158 7.982688
#> 157 740.9505 9.879341 591.81005 7.890801
#> 158 740.8171 9.877561 585.00329 7.800044
#> 159 740.6874 9.875832 578.28068 7.710409
#> 160 740.5614 9.874152 571.64159 7.621888
#> 161 740.4389 9.872518 565.08535 7.534471
#> 162 740.3198 9.870931 558.61133 7.448151
#> 163 740.2041 9.869388 552.21884 7.362918
#> 164 740.0916 9.867888 545.90722 7.278763
#> 165 739.9823 9.866431 539.67578 7.195677
#> 166 739.8760 9.865014 533.52384 7.113651
#> 167 739.7727 9.863636 527.45069 7.032676
#> 168 739.6723 9.862297 521.45563 6.952742
#> 169 739.5747 9.860996 515.53796 6.873839
#> 170 739.4798 9.859730 509.69696 6.795959
#> 171 739.3875 9.858500 503.93192 6.719092
#> 172 739.2978 9.857303 498.24211 6.643228
#> 173 739.2105 9.856140 492.62682 6.568358
#> 174 739.1257 9.855009 487.08531 6.494471
#> 175 739.0432 9.853910 481.61686 6.421558
#> 176 738.9630 9.852840 476.22073 6.349610
#> 177 738.8850 9.851801 470.89621 6.278616
#> 178 738.8092 9.850789 465.64255 6.208567
#> 179 738.7354 9.849806 460.45902 6.139454
#> 180 738.6637 9.848849 455.34490 6.071265
#> 181 738.5939 9.847919 450.29944 6.003993
#> 182 738.5261 9.847014 445.32192 5.937626
#> 183 738.4601 9.846134 440.41161 5.872155
#> 184 738.3959 9.845278 435.56778 5.807570
#> 185 738.3334 9.844445 430.78969 5.743863
#> 186 738.2726 9.843635 426.07663 5.681022
#> 187 738.2135 9.842847 421.42788 5.619038
#> 188 738.1560 9.842080 416.84270 5.557903
#> 189 738.1001 9.841334 412.32038 5.497605
#> 190 738.0456 9.840609 407.86021 5.438136
#> 191 737.9927 9.839902 403.46147 5.379486
#> 192 737.9411 9.839215 399.12345 5.321646
#> 193 737.8910 9.838546 394.84544 5.264606
#> 194 737.8422 9.837895 390.62675 5.208357
#> 195 737.7947 9.837262 386.46668 5.152889
#> 196 737.7484 9.836646 382.36452 5.098194
#> 197 737.7034 9.836046 378.31960 5.044261
#> 198 737.6596 9.835462 374.33121 4.991083
#> 199 737.6170 9.834893 370.39869 4.938649
#> 200 737.5755 9.834340 366.52134 4.886951
#> 201 737.5351 9.833801 362.69851 4.835980
#> 202 737.4958 9.833277 358.92952 4.785727
#> 203 737.4575 9.832766 355.21370 4.736183
#> 204 737.4202 9.832269 351.55040 4.687339
#> 205 737.3839 9.831785 347.93897 4.639186
#> 206 737.3486 9.831314 344.37875 4.591717
#> 207 737.3141 9.830855 340.86911 4.544922
#> 208 737.2806 9.830408 337.40941 4.498792
#> 209 737.2480 9.829973 333.99900 4.453320
#> 210 737.2162 9.829549 330.63728 4.408497
#> 211 737.1852 9.829136 327.32360 4.364315
#> 212 737.1551 9.828734 324.05737 4.320765
#> 213 737.1257 9.828343 320.83796 4.277839
#> 214 737.0971 9.827961 317.66477 4.235530
#> 215 737.0692 9.827589 314.53721 4.193829
#> 216 737.0420 9.827227 311.45467 4.152729
#> 217 737.0156 9.826874 308.41657 4.112221
#> 218 736.9898 9.826531 305.42233 4.072298
#> 219 736.9647 9.826196 302.47136 4.032952
#> 220 736.9402 9.825869 299.56311 3.994175
#> 221 736.9163 9.825551 296.69700 3.955960
#> 222 736.8931 9.825241 293.87247 3.918300
#> 223 736.8704 9.824939 291.08898 3.881186
#> 224 736.8483 9.824645 288.34596 3.844613
#> 225 736.8268 9.824358 285.64288 3.808572
#> 226 736.8058 9.824078 282.97921 3.773056
#> 227 736.7854 9.823805 280.35440 3.738059
#> 228 736.7654 9.823539 277.76794 3.703573
#> 229 736.7460 9.823280 275.21931 3.669591
#> 230 736.7270 9.823027 272.70798 3.636106
#> 231 736.7085 9.822781 270.23347 3.603113
#> 232 736.6905 9.822540 267.79525 3.570603
#> 233 736.6729 9.822306 265.39283 3.538571
#> 234 736.6558 9.822077 263.02573 3.507010
#> 235 736.6391 9.821854 260.69346 3.475913
#> 236 736.6228 9.821637 258.39554 3.445274
#> 237 736.6069 9.821425 256.13148 3.415086
#> 238 736.5914 9.821218 253.90083 3.385344
#> 239 736.5762 9.821016 251.70313 3.356042
#> 240 736.5615 9.820819 249.53790 3.327172
#> 241 736.5471 9.820627 247.40470 3.298729
#> 242 736.5330 9.820440 245.30309 3.270708
#> 243 736.5193 9.820257 243.23262 3.243102
#> 244 736.5059 9.820079 241.19285 3.215905
#> 245 736.4928 9.819905 239.18335 3.189111
#> 246 736.4801 9.819735 237.20371 3.162716
#> 247 736.4677 9.819569 235.25349 3.136713
#> 248 736.4555 9.819407 233.33228 3.111097
#> 249 736.4437 9.819249 231.43967 3.085862
#> 250 736.4321 9.819095 229.57526 3.061003
#> 251 736.4208 9.818944 227.73864 3.036515
#> 252 736.4098 9.818797 225.92943 3.012392
#> 253 736.3990 9.818653 224.14722 2.988630
#> 254 736.3885 9.818513 222.39164 2.965222
#> 255 736.3782 9.818376 220.66231 2.942164
#> 256 736.3682 9.818243 218.95885 2.919451
#> 257 736.3584 9.818112 217.28089 2.897078
#> 258 736.3489 9.817985 215.62806 2.875041
#> 259 736.3395 9.817860 214.00000 2.853333
#> 260 736.3304 9.817739 212.39636 2.831951
#> 261 736.3215 9.817620 210.81679 2.810891
#> 262 736.3128 9.817504 209.26093 2.790146
#> 263 736.3043 9.817390 207.72845 2.769713
#> 264 736.2960 9.817280 206.21901 2.749587
#> 265 736.2879 9.817172 204.73226 2.729764
#> 266 736.2799 9.817066 203.26790 2.710239
#> 267 736.2722 9.816962 201.82558 2.691008
#> 268 736.2646 9.816861 200.40500 2.672067
#> 269 736.2572 9.816763 199.00582 2.653411
#> 270 736.2500 9.816666 197.62775 2.635037
#> 271 736.2429 9.816572 196.27047 2.616940
#> 272 736.2360 9.816480 194.93368 2.599116
#> 273 736.2292 9.816390 193.61709 2.581561
#> 274 736.2226 9.816302 192.32039 2.564272
#> 275 736.2162 9.816216 191.04329 2.547244
#> 276 736.2099 9.816131 189.78551 2.530473
#> 277 736.2037 9.816049 188.54676 2.513957
#> 278 736.1976 9.815969 187.32676 2.497690
#> 279 736.1917 9.815890 186.12525 2.481670
#> 280 736.1860 9.815813 184.94193 2.465892
#> 281 736.1803 9.815738 183.77656 2.450354
#> 282 736.1748 9.815664 182.62886 2.435051
#> 283 736.1694 9.815592 181.49857 2.419981
#> 284 736.1641 9.815522 180.38544 2.405139
#> 285 736.1589 9.815453 179.28921 2.390523
#> 286 736.1539 9.815385 178.20963 2.376128
#> 287 736.1489 9.815319 177.14645 2.361953
#> 288 736.1441 9.815255 176.09944 2.347993
#> 289 736.1394 9.815192 175.06835 2.334245
#> 290 736.1347 9.815130 174.05294 2.320706
#> 291 736.1302 9.815069 173.05299 2.307373
#> 292 736.1258 9.815010 172.06826 2.294243
#> 293 736.1214 9.814952 171.09852 2.281314
#> 294 736.1172 9.814896 170.14356 2.268581
#> 295 736.1130 9.814840 169.20315 2.256042
#> 296 736.1089 9.814786 168.27708 2.243694
#> 297 736.1049 9.814733 167.36513 2.231535
#> 298 736.1010 9.814680 166.46709 2.219561
#> 299 736.0972 9.814629 165.58275 2.207770
#> 300 736.0935 9.814580 164.71192 2.196159
#> 301 736.0898 9.814531 163.85437 2.184725
#> 302 736.0862 9.814483 163.00993 2.173466
#> 303 736.0827 9.814436 162.17839 2.162378
#> 304 736.0793 9.814390 161.35955 2.151461
#> 305 736.0759 9.814345 160.55323 2.140710
#> 306 736.0726 9.814301 159.75924 2.130123
#> 307 736.0694 9.814258 158.97740 2.119699
#> 308 736.0662 9.814216 158.20751 2.109433
#> 309 736.0631 9.814175 157.44941 2.099325
#> 310 736.0601 9.814134 156.70291 2.089372
#> 311 736.0571 9.814094 155.96784 2.079571
#> 312 736.0542 9.814055 155.24403 2.069920
#> 313 736.0513 9.814017 154.53131 2.060417
#> 314 736.0485 9.813980 153.82950 2.051060
#> 315 736.0458 9.813943 153.13846 2.041846
#> 316 736.0431 9.813908 152.45801 2.032773
#> 317 736.0404 9.813872 151.78799 2.023840
#> 318 736.0378 9.813838 151.12824 2.015043
#> 319 736.0353 9.813804 150.47862 2.006382
#> 320 736.0328 9.813771 149.83897 1.997853
#> 321 736.0304 9.813739 149.20913 1.989455
#> 322 736.0280 9.813707 148.58896 1.981186
#> 323 736.0257 9.813676 147.97832 1.973044
#> 324 736.0234 9.813645 147.37705 1.965027
#> 325 736.0212 9.813615 146.78502 1.957134
#> 326 736.0189 9.813586 146.20208 1.949361
#> 327 736.0168 9.813557 145.62810 1.941708
#> 328 736.0147 9.813529 145.06294 1.934173
#> 329 736.0126 9.813501 144.50647 1.926753
#> 330 736.0106 9.813474 143.95856 1.919447
#> 331 736.0086 9.813448 143.41907 1.912254
#> 332 736.0066 9.813422 142.88788 1.905172
#> 333 736.0047 9.813396 142.36486 1.898198
#> 334 736.0028 9.813371 141.84989 1.891332
#> 335 736.0010 9.813346 141.34285 1.884571
#> 336 735.9992 9.813322 140.84361 1.877915
#> 337 735.9974 9.813298 140.35205 1.871361
#> 338 735.9956 9.813275 139.86807 1.864908
#> 339 735.9939 9.813252 139.39153 1.858554
#> 340 735.9922 9.813230 138.92234 1.852298
#> 341 735.9906 9.813208 138.46037 1.846138
#> 342 735.9890 9.813187 138.00553 1.840074
#> 343 735.9874 9.813165 137.55769 1.834102
#> 344 735.9859 9.813145 137.11675 1.828223
#> 345 735.9843 9.813124 136.68261 1.822435
#> 346 735.9828 9.813104 136.25516 1.816735
#> 347 735.9814 9.813085 135.83431 1.811124
#> 348 735.9799 9.813066 135.41994 1.805599
#> 349 735.9785 9.813047 135.01196 1.800159
#> 350 735.9771 9.813028 134.61028 1.794804
#> 351 735.9758 9.813010 134.21479 1.789531
#> 352 735.9744 9.812992 133.82541 1.784339
#> 353 735.9731 9.812975 133.44203 1.779227
#> 354 735.9718 9.812958 133.06457 1.774194
#> 355 735.9706 9.812941 132.69294 1.769239
#> 356 735.9693 9.812924 132.32704 1.764361
#> 357 735.9681 9.812908 131.96680 1.759557
#> 358 735.9669 9.812892 131.61211 1.754828
#> 359 735.9657 9.812876 131.26291 1.750172
#> 360 735.9646 9.812861 130.91909 1.745588
#> 361 735.9634 9.812846 130.58059 1.741075
#> 362 735.9623 9.812831 130.24732 1.736631
#> 363 735.9612 9.812817 129.91919 1.732256
#> 364 735.9602 9.812802 129.59614 1.727948
#> 365 735.9591 9.812788 129.27807 1.723708
#> 366 735.9581 9.812774 128.96493 1.719532
#> 367 735.9571 9.812761 128.65662 1.715422
#> 368 735.9561 9.812748 128.35308 1.711374
#> 369 735.9551 9.812735 128.05423 1.707390
#> 370 735.9541 9.812722 127.76000 1.703467
#> 371 735.9532 9.812709 127.47032 1.699604
#> 372 735.9523 9.812697 127.18512 1.695802
#> 373 735.9514 9.812685 126.90434 1.692058
#> 374 735.9505 9.812673 126.62789 1.688372
#> 375 735.9496 9.812661 126.35572 1.684743
#> 376 735.9487 9.812650 126.08776 1.681170
#> 377 735.9479 9.812638 125.82395 1.677653
#> 378 735.9470 9.812627 125.56422 1.674190
#> 379 735.9462 9.812616 125.30851 1.670780
#> 380 735.9454 9.812605 125.05675 1.667423
#> 381 735.9446 9.812595 124.80889 1.664119
#> 382 735.9438 9.812585 124.56487 1.660865
#> 383 735.9431 9.812574 124.32463 1.657662
#> 384 735.9423 9.812564 124.08810 1.654508
#> 385 735.9416 9.812555 123.85524 1.651403
#> 386 735.9409 9.812545 123.62598 1.648346
#> 387 735.9402 9.812536 123.40027 1.645337
#> 388 735.9395 9.812526 123.17806 1.642374
#> 389 735.9388 9.812517 122.95928 1.639457
#> 390 735.9381 9.812508 122.74390 1.636585
#> 391 735.9374 9.812499 122.53185 1.633758
#> 392 735.9368 9.812491 122.32309 1.630974
#> 393 735.9362 9.812482 122.11756 1.628234
#> 394 735.9355 9.812474 121.91521 1.625536
#> 395 735.9349 9.812465 121.71600 1.622880
#> 396 735.9343 9.812457 121.51987 1.620265
#> 397 735.9337 9.812449 121.32679 1.617691
#> 398 735.9331 9.812442 121.13669 1.615156
#> 399 735.9325 9.812434 120.94955 1.612661
#> 400 735.9320 9.812426 120.76530 1.610204
#> 401 735.9314 9.812419 120.58391 1.607785
#> 402 735.9309 9.812412 120.40533 1.605404
#> 403 735.9303 9.812404 120.22951 1.603060
#> 404 735.9298 9.812397 120.05643 1.600752
#> 405 735.9293 9.812390 119.88602 1.598480
#> 406 735.9288 9.812384 119.71826 1.596243
#> 407 735.9283 9.812377 119.55310 1.594041
#> 408 735.9278 9.812370 119.39050 1.591873
#> 409 735.9273 9.812364 119.23042 1.589739
#> 410 735.9268 9.812357 119.07282 1.587638
#> 411 735.9263 9.812351 118.91767 1.585569
#> 412 735.9259 9.812345 118.76492 1.583532
#> 413 735.9254 9.812339 118.61454 1.581527
#> 414 735.9250 9.812333 118.46650 1.579553
#> 415 735.9245 9.812327 118.32075 1.577610
#> 416 735.9241 9.812321 118.17726 1.575697
#> 417 735.9237 9.812316 118.03599 1.573813
#> 418 735.9233 9.812310 117.89692 1.571959
#> 419 735.9229 9.812305 117.76001 1.570133
#> 420 735.9225 9.812299 117.62522 1.568336
#> 421 735.9221 9.812294 117.49252 1.566567
#> 422 735.9217 9.812289 117.36188 1.564825
#> 423 735.9213 9.812284 117.23327 1.563110
#> 424 735.9209 9.812279 117.10665 1.561422
#> 425 735.9205 9.812274 116.98200 1.559760
#> 426 735.9202 9.812269 116.85928 1.558124
#> 427 735.9198 9.812264 116.73846 1.556513
#> 428 735.9195 9.812260 116.61952 1.554927
#> 429 735.9191 9.812255 116.50243 1.553366
#> 430 735.9188 9.812250 116.38716 1.551829
#> 431 735.9184 9.812246 116.27367 1.550316
#> 432 735.9181 9.812241 116.16194 1.548826
#> 433 735.9178 9.812237 116.05195 1.547359
#> 434 735.9175 9.812233 115.94367 1.545916
#> 435 735.9172 9.812229 115.83707 1.544494
#> 436 735.9168 9.812225 115.73212 1.543095
#> 437 735.9165 9.812221 115.62880 1.541717
#> 438 735.9162 9.812217 115.52708 1.540361
#> 439 735.9160 9.812213 115.42695 1.539026
#> 440 735.9157 9.812209 115.32837 1.537712
#> 441 735.9154 9.812205 115.23132 1.536418
#> 442 735.9151 9.812201 115.13577 1.535144
#> 443 735.9148 9.812198 115.04171 1.533890
#> 444 735.9146 9.812194 114.94912 1.532655
#> 445 735.9143 9.812191 114.85795 1.531439
#> 446 735.9140 9.812187 114.76821 1.530243
#> 447 735.9138 9.812184 114.67986 1.529065
#> 448 735.9135 9.812180 114.59288 1.527905
#> 449 735.9133 9.812177 114.50725 1.526763
#> 450 735.9130 9.812174 114.42295 1.525639
#> 451 735.9128 9.812170 114.33996 1.524533
#> 452 735.9125 9.812167 114.25826 1.523443
#> 453 735.9123 9.812164 114.17782 1.522371
#> 454 735.9121 9.812161 114.09864 1.521315
#> 455 735.9119 9.812158 114.02069 1.520276
#> 456 735.9116 9.812155 113.94395 1.519253
#> 457 735.9114 9.812152 113.86840 1.518245
#> 458 735.9112 9.812149 113.79402 1.517254
#> 459 735.9110 9.812147 113.72080 1.516277
#> 460 735.9108 9.812144 113.64871 1.515316
#> 461 735.9106 9.812141 113.57775 1.514370
#> 462 735.9104 9.812138 113.50789 1.513439
#> 463 735.9102 9.812136 113.43911 1.512522
#> 464 735.9100 9.812133 113.37140 1.511619
#> 465 735.9098 9.812131 113.30475 1.510730
#> 466 735.9096 9.812128 113.23913 1.509855
#> 467 735.9094 9.812126 113.17453 1.508994
#> 468 735.9092 9.812123 113.11093 1.508146
#> 469 735.9091 9.812121 113.04832 1.507311
#> 470 735.9089 9.812118 112.98669 1.506489
#> 471 735.9087 9.812116 112.92601 1.505680
#> 472 735.9085 9.812114 112.86627 1.504884
#> 473 735.9084 9.812112 112.80747 1.504100
#> 474 735.9082 9.812109 112.74957 1.503328
#> 475 735.9080 9.812107 112.69258 1.502568
#> 476 735.9079 9.812105 112.63647 1.501820
#> 477 735.9077 9.812103 112.58124 1.501083
#> 478 735.9076 9.812101 112.52686 1.500358
#> 479 735.9074 9.812099 112.47332 1.499644
#> 480 735.9073 9.812097 112.42062 1.498942
#> 481 735.9071 9.812095 112.36874 1.498250
#> 482 735.9070 9.812093 112.31767 1.497569
#> 483 735.9068 9.812091 112.26739 1.496898
#> 484 735.9067 9.812089 112.21789 1.496238
#> 485 735.9065 9.812087 112.16915 1.495589
#> 486 735.9064 9.812086 112.12118 1.494949
#> 487 735.9063 9.812084 112.07395 1.494319
#> 488 735.9061 9.812082 112.02746 1.493699
#> 489 735.9060 9.812080 111.98169 1.493089
#> 490 735.9059 9.812079 111.93663 1.492488
#> 491 735.9058 9.812077 111.89227 1.491897
#> 492 735.9056 9.812075 111.84860 1.491315
#> 493 735.9055 9.812074 111.80561 1.490741
#> 494 735.9054 9.812072 111.76329 1.490177
#> 495 735.9053 9.812070 111.72162 1.489622
#> 496 735.9052 9.812069 111.68060 1.489075
#> 497 735.9050 9.812067 111.64022 1.488536
#> 498 735.9049 9.812066 111.60047 1.488006
#> 499 735.9048 9.812064 111.56134 1.487485
#> 500 735.9047 9.812063 111.52281 1.486971
#> 501 735.9046 9.812061 111.48489 1.486465
#> 502 735.9045 9.812060 111.44755 1.485967
#> 503 735.9044 9.812059 111.41079 1.485477
#> 504 735.9043 9.812057 111.37461 1.484995
#> 505 735.9042 9.812056 111.33899 1.484520
#> 506 735.9041 9.812055 111.30392 1.484052
#> 507 735.9040 9.812053 111.26939 1.483592
#> 508 735.9039 9.812052 111.23541 1.483139
#> 509 735.9038 9.812051 111.20195 1.482693
#> 510 735.9037 9.812050 111.16901 1.482253
#> 511 735.9036 9.812048 111.13658 1.481821
#> 512 735.9035 9.812047 111.10466 1.481395
#> 513 735.9035 9.812046 111.07324 1.480976
#> 514 735.9034 9.812045 111.04230 1.480564
#> 515 735.9033 9.812044 111.01184 1.480158
#> 516 735.9032 9.812043 110.98186 1.479758
#> 517 735.9031 9.812041 110.95234 1.479365
#> 518 735.9030 9.812040 110.92329 1.478977
#> 519 735.9029 9.812039 110.89468 1.478596
#> 520 735.9029 9.812038 110.86652 1.478220
#> 521 735.9028 9.812037 110.83880 1.477851
#> 522 735.9027 9.812036 110.81150 1.477487
#> 523 735.9026 9.812035 110.78464 1.477128
#> 524 735.9026 9.812034 110.75819 1.476776
#> 525 735.9025 9.812033 110.73215 1.476429
#> 526 735.9024 9.812032 110.70652 1.476087
#> 527 735.9023 9.812031 110.68128 1.475750
#> 528 735.9023 9.812030 110.65644 1.475419
#> 529 735.9022 9.812029 110.63198 1.475093
#> 530 735.9021 9.812029 110.60791 1.474772
#> 531 735.9021 9.812028 110.58420 1.474456
#> 532 735.9020 9.812027 110.56087 1.474145
#> 533 735.9019 9.812026 110.53790 1.473839
#> 534 735.9019 9.812025 110.51529 1.473537
#> 535 735.9018 9.812024 110.49303 1.473240
#> 536 735.9018 9.812023 110.47111 1.472948
#> 537 735.9017 9.812023 110.44954 1.472660
#> 538 735.9016 9.812022 110.42830 1.472377
#> 539 735.9016 9.812021 110.40739 1.472099
#> 540 735.9015 9.812020 110.38681 1.471824
#> 541 735.9015 9.812020 110.36654 1.471554
#> 542 735.9014 9.812019 110.34659 1.471288
#> 543 735.9014 9.812018 110.32696 1.471026
#> 544 735.9013 9.812017 110.30762 1.470768
#> 545 735.9013 9.812017 110.28859 1.470515
#> 546 735.9012 9.812016 110.26986 1.470265
#> 547 735.9011 9.812015 110.25141 1.470019
#> 548 735.9011 9.812015 110.23325 1.469777
#> 549 735.9010 9.812014 110.21538 1.469538
#> 550 735.9010 9.812013 110.19778 1.469304
#> 551 735.9009 9.812013 110.18046 1.469073
#> 552 735.9009 9.812012 110.16340 1.468845
#> 553 735.9009 9.812011 110.14661 1.468622
#> 554 735.9008 9.812011 110.13009 1.468401
#> 555 735.9008 9.812010 110.11382 1.468184
#> 556 735.9007 9.812010 110.09780 1.467971
#> 557 735.9007 9.812009 110.08203 1.467760
#> 558 735.9006 9.812008 110.06651 1.467553
#> 559 735.9006 9.812008 110.05122 1.467350
#> 560 735.9005 9.812007 110.03618 1.467149
#> 561 735.9005 9.812007 110.02137 1.466952
#> 562 735.9005 9.812006 110.00679 1.466757
#> 563 735.9004 9.812006 109.99244 1.466566
#> 564 735.9004 9.812005 109.97831 1.466377
#> 565 735.9003 9.812005 109.96440 1.466192
#> 566 735.9003 9.812004 109.95070 1.466009
#> 567 735.9003 9.812004 109.93722 1.465830
#> 568 735.9002 9.812003 109.92395 1.465653
#> 569 735.9002 9.812003 109.91089 1.465478
#> 570 735.9002 9.812002 109.89802 1.465307
#> 571 735.9001 9.812002 109.88536 1.465138
#> 572 735.9001 9.812001 109.87290 1.464972
#> 573 735.9001 9.812001 109.86063 1.464808
#> 574 735.9000 9.812000 109.84855 1.464647
#> 575 735.9000 9.812000 109.83666 1.464489
#> 576 735.9000 9.811999 109.82495 1.464333
#> 577 735.8999 9.811999 109.81342 1.464179
#> 578 735.8999 9.811999 109.80208 1.464028
#> 579 735.8999 9.811998 109.79091 1.463879
#> 580 735.8998 9.811998 109.77991 1.463732
#> 581 735.8998 9.811997 109.76909 1.463588
#> 582 735.8998 9.811997 109.75843 1.463446
#> 583 735.8997 9.811997 109.74794 1.463306
#> 584 735.8997 9.811996 109.73762 1.463168
#> 585 735.8997 9.811996 109.72745 1.463033
#> 586 735.8997 9.811995 109.71744 1.462899
#> 587 735.8996 9.811995 109.70759 1.462768
#> 588 735.8996 9.811995 109.69789 1.462639
#> 589 735.8996 9.811994 109.68834 1.462511
#> 590 735.8996 9.811994 109.67894 1.462386
#> 591 735.8995 9.811994 109.66969 1.462263
#> 592 735.8995 9.811993 109.66058 1.462141
#> 593 735.8995 9.811993 109.65161 1.462021
#> 594 735.8995 9.811993 109.64278 1.461904
#> 595 735.8994 9.811992 109.63409 1.461788
#> 596 735.8994 9.811992 109.62553 1.461674
#> 597 735.8994 9.811992 109.61711 1.461561
#> 598 735.8994 9.811991 109.60882 1.461451
#> 599 735.8993 9.811991 109.60066 1.461342
#> 600 735.8993 9.811991 109.59262 1.461235
#> 601 735.8993 9.811991 109.58471 1.461129
#> work average_power average_power_relative RF force_angle
#> 1 0.0000000 NaN NaN 0.76338532 40.23644
#> 2 0.4962128 49.62128 0.661617 0.75836311 40.67989
#> 3 1.9541030 97.70515 1.302735 0.75328620 41.12415
#> 4 4.3288155 144.29385 1.923918 0.74815586 41.56912
#> 5 7.5771383 189.42846 2.525713 0.74297345 42.01467
#> 6 11.6574468 233.14894 3.108652 0.73774036 42.46072
#> 7 16.5296500 275.49417 3.673256 0.73245806 42.90714
#> 8 22.1551383 316.50198 4.220026 0.72712806 43.35383
#> 9 28.4967328 356.20916 4.749455 0.72175192 43.80069
#> 10 35.5186370 394.65152 5.262020 0.71633125 44.24759
#> 11 43.1863894 431.86389 5.758185 0.71086771 44.69444
#> 12 51.4668180 467.88016 6.238402 0.70536300 45.14112
#> 13 60.3279961 502.73330 6.703111 0.69981887 45.58753
#> 14 69.7392000 536.45538 7.152738 0.69423710 46.03354
#> 15 79.6708674 569.07762 7.587702 0.68861951 46.47907
#> 16 90.0945581 600.63039 8.008405 0.68296795 46.92399
#> 17 100.9829150 631.14322 8.415243 0.67728430 47.36821
#> 18 112.3096270 660.64486 8.808598 0.67157047 47.81161
#> 19 124.0493933 689.16330 9.188844 0.66582840 48.25409
#> 20 136.1778883 716.72573 9.556343 0.66006005 48.69555
#> 21 148.6717280 743.35864 9.911449 0.65426738 49.13588
#> 22 161.5084376 769.08780 10.254504 0.64845239 49.57498
#> 23 174.6664200 793.93827 10.585844 0.64261708 50.01275
#> 24 188.1249252 817.93446 10.905793 0.63676345 50.44910
#> 25 201.8640214 841.10009 11.214668 0.63089352 50.88392
#> 26 215.8645660 863.45826 11.512777 0.62500931 51.31713
#> 27 230.1081786 885.03146 11.800419 0.61911284 51.74862
#> 28 244.5772141 905.84153 12.077887 0.61320611 52.17831
#> 29 259.2547375 925.90978 12.345464 0.60729115 52.60611
#> 30 274.1244983 945.25689 12.603425 0.60136993 53.03193
#> 31 289.1709074 963.90302 12.852040 0.59544445 53.45568
#> 32 304.3790134 981.86779 13.091570 0.58951669 53.87728
#> 33 319.7344801 999.17025 13.322270 0.58358858 54.29666
#> 34 335.2235652 1015.82899 13.544386 0.57766206 54.71373
#> 35 350.8330993 1031.86206 13.758161 0.57173905 55.12842
#> 36 366.5504651 1047.28704 13.963827 0.56582142 55.54065
#> 37 382.3635787 1062.12105 14.161614 0.55991104 55.95035
#> 38 398.2608699 1076.38073 14.351743 0.55400972 56.35747
#> 39 414.2312645 1090.08228 14.534430 0.54811927 56.76192
#> 40 430.2641664 1103.24145 14.709886 0.54224145 57.16364
#> 41 446.3494403 1115.87360 14.878315 0.53637799 57.56259
#> 42 462.4773956 1127.99365 15.039915 0.53053057 57.95869
#> 43 478.6387701 1139.61612 15.194882 0.52470084 58.35189
#> 44 494.8247149 1150.75515 15.343402 0.51889042 58.74215
#> 45 511.0267792 1161.42450 15.485660 0.51310088 59.12940
#> 46 527.2368962 1171.63755 15.621834 0.50733375 59.51361
#> 47 543.4473688 1181.40732 15.752098 0.50159051 59.89472
#> 48 559.6508567 1190.74650 15.876620 0.49587260 60.27269
#> 49 575.8403628 1199.66742 15.995566 0.49018142 60.64749
#> 50 592.0092211 1208.18208 16.109094 0.48451831 61.01908
#> 51 608.1510843 1216.30217 16.217362 0.47888459 61.38742
#> 52 624.2599123 1224.03904 16.320521 0.47328151 61.75248
#> 53 640.3299608 1231.40377 16.418717 0.46771027 62.11423
#> 54 656.3557701 1238.40711 16.512095 0.46217205 62.47265
#> 55 672.3321551 1245.05955 16.600794 0.45666795 62.82770
#> 56 688.2541944 1251.37126 16.684950 0.45119906 63.17936
#> 57 704.1172211 1257.35218 16.764696 0.44576637 63.52762
#> 58 719.9168127 1263.01195 16.840159 0.44037088 63.87245
#> 59 735.6487823 1268.35997 16.911466 0.43501351 64.21385
#> 60 751.3091695 1273.40537 16.978738 0.42969514 64.55179
#> 61 766.8942319 1278.15705 17.042094 0.42441660 64.88626
#> 62 782.4004369 1282.62367 17.101649 0.41917869 65.21725
#> 63 797.8244534 1286.81363 17.157515 0.41398214 65.54477
#> 64 813.1631444 1290.73515 17.209802 0.40882766 65.86879
#> 65 828.4135591 1294.39619 17.258616 0.40371590 66.18932
#> 66 843.5729263 1297.80450 17.304060 0.39864748 66.50635
#> 67 858.6386469 1300.96765 17.346235 0.39362296 66.81988
#> 68 873.6082874 1303.89297 17.385240 0.38864288 67.12992
#> 69 888.4795735 1306.58761 17.421168 0.38370772 67.43646
#> 70 903.2503835 1309.05853 17.454114 0.37881793 67.73952
#> 71 917.9187425 1311.31249 17.484167 0.37397392 68.03909
#> 72 932.4828167 1313.35608 17.511414 0.36917607 68.33519
#> 73 946.9409075 1315.19570 17.535943 0.36442470 68.62782
#> 74 961.2914460 1316.83760 17.557835 0.35972011 68.91699
#> 75 975.5329880 1318.28782 17.577171 0.35506257 69.20272
#> 76 989.6642088 1319.55228 17.594030 0.35045231 69.48502
#> 77 1003.6838983 1320.63671 17.608489 0.34588952 69.76390
#> 78 1017.5909563 1321.54670 17.620623 0.34137437 70.03937
#> 79 1031.3843881 1322.28768 17.630502 0.33690699 70.31146
#> 80 1045.0632996 1322.86494 17.638199 0.33248749 70.58017
#> 81 1058.6268939 1323.28362 17.643782 0.32811593 70.84554
#> 82 1072.0744662 1323.54872 17.647316 0.32379237 71.10757
#> 83 1085.4054007 1323.66512 17.648868 0.31951682 71.36629
#> 84 1098.6191665 1323.63755 17.648501 0.31528928 71.62172
#> 85 1111.7153137 1323.47061 17.646275 0.31110971 71.87388
#> 86 1124.6934702 1323.16879 17.642251 0.30697807 72.12279
#> 87 1137.5533381 1322.73644 17.636486 0.30289427 72.36848
#> 88 1150.2946904 1322.17781 17.629037 0.29885822 72.61096
#> 89 1162.9173681 1321.49701 17.619960 0.29486979 72.85027
#> 90 1175.4212767 1320.69806 17.609308 0.29092884 73.08643
#> 91 1187.8063836 1319.78487 17.597132 0.28703521 73.31946
#> 92 1200.0727151 1318.76123 17.583483 0.28318872 73.54939
#> 93 1212.2203537 1317.63082 17.568411 0.27938917 73.77625
#> 94 1224.2494354 1316.39724 17.551963 0.27563637 74.00006
#> 95 1236.1601474 1315.06399 17.534186 0.27193006 74.22085
#> 96 1247.9527253 1313.63445 17.515126 0.26827002 74.43865
#> 97 1259.6274509 1312.11193 17.494826 0.26465599 74.65349
#> 98 1271.1846502 1310.49964 17.473329 0.26108768 74.86539
#> 99 1282.6246906 1308.80070 17.450676 0.25756483 75.07438
#> 100 1293.9479793 1307.01816 17.426909 0.25408713 75.28050
#> 101 1305.1549613 1305.15496 17.402066 0.25065429 75.48377
#> 102 1316.2461168 1303.21398 17.376186 0.24726598 75.68421
#> 103 1327.2219603 1301.19800 17.349307 0.24392187 75.88187
#> 104 1338.0830378 1299.10975 17.321463 0.24062163 76.07677
#> 105 1348.8299260 1296.95185 17.292691 0.23736492 76.26893
#> 106 1359.4632297 1294.72689 17.263025 0.23415139 76.45839
#> 107 1369.9835810 1292.43734 17.232498 0.23098067 76.64519
#> 108 1380.3916371 1290.08564 17.201142 0.22785240 76.82933
#> 109 1390.6880794 1287.67415 17.168989 0.22476621 77.01087
#> 110 1400.8736116 1285.20515 17.136069 0.22172172 77.18982
#> 111 1410.9489584 1282.68087 17.102412 0.21871855 77.36622
#> 112 1420.9148644 1280.10348 17.068046 0.21575630 77.54010
#> 113 1430.7720928 1277.47508 17.033001 0.21283459 77.71148
#> 114 1440.5214237 1274.79772 16.997303 0.20995303 77.88040
#> 115 1450.1636537 1272.07338 16.960978 0.20711120 78.04689
#> 116 1459.6995942 1269.30399 16.924053 0.20430871 78.21097
#> 117 1469.1300705 1266.49144 16.886553 0.20154516 78.37267
#> 118 1478.4559206 1263.63754 16.848501 0.19882013 78.53203
#> 119 1487.6779946 1260.74406 16.809921 0.19613323 78.68907
#> 120 1496.7971533 1257.81273 16.770836 0.19348403 78.84382
#> 121 1505.8142676 1254.84522 16.731270 0.19087213 78.99631
#> 122 1514.7302173 1251.84315 16.691242 0.18829711 79.14658
#> 123 1523.5458908 1248.80811 16.650775 0.18575857 79.29464
#> 124 1532.2621836 1245.74161 16.609888 0.18325608 79.44052
#> 125 1540.8799979 1242.64516 16.568602 0.18078924 79.58427
#> 126 1549.4002420 1239.52019 16.526936 0.17835764 79.72589
#> 127 1557.8238292 1236.36812 16.484908 0.17596085 79.86542
#> 128 1566.1516775 1233.19030 16.442537 0.17359847 80.00289
#> 129 1574.3847087 1229.98805 16.399841 0.17127008 80.13833
#> 130 1582.5238478 1226.76267 16.356836 0.16897529 80.27175
#> 131 1590.5700225 1223.51540 16.313539 0.16671367 80.40320
#> 132 1598.5241626 1220.24745 16.269966 0.16448483 80.53269
#> 133 1606.3871994 1216.96000 16.226133 0.16228835 80.66025
#> 134 1614.1600652 1213.65418 16.182056 0.16012383 80.78592
#> 135 1621.8436930 1210.33111 16.137748 0.15799088 80.90970
#> 136 1629.4390155 1206.99186 16.093225 0.15588909 81.03164
#> 137 1636.9469652 1203.63747 16.048500 0.15381807 81.15175
#> 138 1644.3684739 1200.26896 16.003586 0.15177742 81.27006
#> 139 1651.7044720 1196.88730 15.958497 0.14976674 81.38659
#> 140 1658.9558881 1193.49344 15.913246 0.14778566 81.50138
#> 141 1666.1236490 1190.08832 15.867844 0.14583378 81.61444
#> 142 1673.2086792 1186.67282 15.822304 0.14391072 81.72579
#> 143 1680.2119003 1183.24782 15.776638 0.14201610 81.83547
#> 144 1687.1342309 1179.81415 15.730855 0.14014955 81.94350
#> 145 1693.9765865 1176.37263 15.684968 0.13831067 82.04990
#> 146 1700.7398786 1172.92405 15.638987 0.13649912 82.15468
#> 147 1707.4250151 1169.46919 15.592923 0.13471450 82.25789
#> 148 1714.0328997 1166.00878 15.546784 0.13295647 82.35953
#> 149 1720.5644317 1162.54353 15.500580 0.13122466 82.45963
#> 150 1727.0205057 1159.07416 15.454322 0.12951871 82.55822
#> 151 1733.4020115 1155.60134 15.408018 0.12783827 82.65531
#> 152 1739.7098339 1152.12572 15.361676 0.12618298 82.75092
#> 153 1745.9448524 1148.64793 15.315306 0.12455250 82.84509
#> 154 1752.1079412 1145.16859 15.268915 0.12294648 82.93782
#> 155 1758.1999687 1141.68829 15.222511 0.12136458 83.02914
#> 156 1764.2217976 1138.20761 15.176101 0.11980647 83.11907
#> 157 1770.1742849 1134.72711 15.129695 0.11827180 83.20763
#> 158 1776.0582812 1131.24731 15.083298 0.11676026 83.29484
#> 159 1781.8746312 1127.76875 15.036917 0.11527150 83.38071
#> 160 1787.6241733 1124.29193 14.990559 0.11380522 83.46528
#> 161 1793.3077392 1120.81734 14.944231 0.11236109 83.54856
#> 162 1798.9261544 1117.34544 14.897939 0.11093880 83.63056
#> 163 1804.4802375 1113.87669 14.851689 0.10953803 83.71131
#> 164 1809.9708007 1110.41153 14.805487 0.10815847 83.79083
#> 165 1815.3986492 1106.95040 14.759339 0.10679982 83.86913
#> 166 1820.7645814 1103.49369 14.713249 0.10546179 83.94623
#> 167 1826.0693887 1100.04180 14.667224 0.10414406 84.02215
#> 168 1831.3138555 1096.59512 14.621268 0.10284636 84.09690
#> 169 1836.4987593 1093.15402 14.575387 0.10156838 84.17051
#> 170 1841.6248703 1089.71886 14.529585 0.10030984 84.24299
#> 171 1846.6929517 1086.28997 14.483866 0.09907046 84.31435
#> 172 1851.7037595 1082.86770 14.438236 0.09784996 84.38463
#> 173 1856.6580423 1079.45235 14.392698 0.09664806 84.45382
#> 174 1861.5565417 1076.04424 14.347257 0.09546449 84.52195
#> 175 1866.3999920 1072.64367 14.301916 0.09429898 84.58903
#> 176 1871.1891199 1069.25093 14.256679 0.09315127 84.65508
#> 177 1875.9246453 1065.86628 14.211550 0.09202109 84.72011
#> 178 1880.6072803 1062.48999 14.166533 0.09090818 84.78414
#> 179 1885.2377300 1059.12232 14.121631 0.08981229 84.84719
#> 180 1889.8166920 1055.76352 14.076847 0.08873318 84.90927
#> 181 1894.3448568 1052.41381 14.032184 0.08767058 84.97039
#> 182 1898.8229073 1049.07343 13.987646 0.08662425 85.03057
#> 183 1903.2515192 1045.74259 13.943235 0.08559395 85.08982
#> 184 1907.6313611 1042.42151 13.898953 0.08457945 85.14816
#> 185 1911.9630939 1039.11038 13.854805 0.08358051 85.20560
#> 186 1916.2473717 1035.80939 13.810792 0.08259689 85.26215
#> 187 1920.4848410 1032.51873 13.766916 0.08162837 85.31783
#> 188 1924.6761412 1029.23858 13.723181 0.08067472 85.37265
#> 189 1928.8219045 1025.96910 13.679588 0.07973572 85.42663
#> 190 1932.9227559 1022.71045 13.636139 0.07881114 85.47977
#> 191 1936.9793134 1019.46280 13.592837 0.07790078 85.53209
#> 192 1940.9921877 1016.22628 13.549684 0.07700441 85.58360
#> 193 1944.9619824 1013.00103 13.506680 0.07612184 85.63432
#> 194 1948.8892943 1009.78720 13.463829 0.07525284 85.68425
#> 195 1952.7747129 1006.58490 13.421132 0.07439722 85.73341
#> 196 1956.6188209 1003.39427 13.378590 0.07355477 85.78181
#> 197 1960.4221941 1000.21541 13.336205 0.07272529 85.82947
#> 198 1964.1854013 997.04843 13.293979 0.07190860 85.87638
#> 199 1967.9090045 993.89344 13.251912 0.07110448 85.92257
#> 200 1971.5935590 990.75053 13.210007 0.07031277 85.96805
#> 201 1975.2396131 987.61981 13.168264 0.06953326 86.01282
#> 202 1978.8477086 984.50135 13.126685 0.06876577 86.05690
#> 203 1982.4183806 981.39524 13.085270 0.06801012 86.10030
#> 204 1985.9521577 978.30156 13.044021 0.06726613 86.14302
#> 205 1989.4495616 975.22037 13.002938 0.06653362 86.18509
#> 206 1992.9111078 972.15176 12.962023 0.06581242 86.22650
#> 207 1996.3373052 969.09578 12.921277 0.06510235 86.26727
#> 208 1999.7286565 966.05249 12.880700 0.06440325 86.30741
#> 209 2003.0856577 963.02195 12.840293 0.06371495 86.34693
#> 210 2006.4087988 960.00421 12.800056 0.06303728 86.38583
#> 211 2009.6985635 956.99932 12.759991 0.06237009 86.42414
#> 212 2012.9554290 954.00731 12.720097 0.06171321 86.46185
#> 213 2016.1798669 951.02824 12.680377 0.06106648 86.49897
#> 214 2019.3723423 948.06213 12.640828 0.06042975 86.53552
#> 215 2022.5333144 945.10903 12.601454 0.05980286 86.57150
#> 216 2025.6632365 942.16895 12.562253 0.05918568 86.60693
#> 217 2028.7625559 939.24192 12.523226 0.05857804 86.64180
#> 218 2031.8317140 936.32798 12.484373 0.05797980 86.67614
#> 219 2034.8711467 933.42713 12.445695 0.05739082 86.70994
#> 220 2037.8812837 930.53940 12.407192 0.05681095 86.74322
#> 221 2040.8625494 927.66480 12.368864 0.05624006 86.77598
#> 222 2043.8153623 924.80333 12.330711 0.05567800 86.80823
#> 223 2046.7401356 921.95502 12.292734 0.05512465 86.83999
#> 224 2049.6372768 919.11986 12.254931 0.05457987 86.87125
#> 225 2052.5071880 916.29785 12.217305 0.05404353 86.90202
#> 226 2055.3502658 913.48901 12.179853 0.05351549 86.93232
#> 227 2058.1669017 910.69332 12.142578 0.05299563 86.96215
#> 228 2060.9574817 907.91078 12.105477 0.05248383 86.99152
#> 229 2063.7223866 905.14140 12.068552 0.05197995 87.02043
#> 230 2066.4619922 902.38515 12.031802 0.05148389 87.04889
#> 231 2069.1766690 899.64203 11.995227 0.05099551 87.07690
#> 232 2071.8667825 896.91203 11.958827 0.05051470 87.10449
#> 233 2074.5326933 894.19513 11.922602 0.05004135 87.13164
#> 234 2077.1747569 891.49131 11.886551 0.04957533 87.15838
#> 235 2079.7933240 888.80057 11.850674 0.04911654 87.18470
#> 236 2082.3887406 886.12287 11.814972 0.04866486 87.21061
#> 237 2084.9613477 883.45820 11.779443 0.04822018 87.23612
#> 238 2087.5114816 880.80653 11.744087 0.04778241 87.26123
#> 239 2090.0394741 878.16785 11.708905 0.04735142 87.28595
#> 240 2092.5456524 875.54211 11.673895 0.04692712 87.31029
#> 241 2095.0303389 872.92931 11.639057 0.04650940 87.33425
#> 242 2097.4938517 870.32940 11.604392 0.04609816 87.35783
#> 243 2099.9365045 867.74236 11.569898 0.04569330 87.38106
#> 244 2102.3586064 865.16815 11.535575 0.04529472 87.40392
#> 245 2104.7604623 862.60675 11.501423 0.04490232 87.42642
#> 246 2107.1423729 860.05811 11.467441 0.04451602 87.44858
#> 247 2109.5046345 857.52221 11.433629 0.04413571 87.47039
#> 248 2111.8475393 854.99900 11.399987 0.04376130 87.49186
#> 249 2114.1713754 852.48846 11.366513 0.04339271 87.51300
#> 250 2116.4764267 849.99053 11.333207 0.04302983 87.53381
#> 251 2118.7629732 847.50519 11.300069 0.04267259 87.55430
#> 252 2121.0312908 845.03239 11.267098 0.04232089 87.57447
#> 253 2123.2816517 842.57208 11.234294 0.04197466 87.59432
#> 254 2125.5143240 840.12424 11.201657 0.04163380 87.61387
#> 255 2127.7295721 837.68881 11.169184 0.04129823 87.63311
#> 256 2129.9276565 835.26575 11.136877 0.04096787 87.65206
#> 257 2132.1088341 832.85501 11.104734 0.04064265 87.67071
#> 258 2134.2733580 830.45656 11.072754 0.04032247 87.68907
#> 259 2136.4214778 828.07034 11.040938 0.04000726 87.70714
#> 260 2138.5534394 825.69631 11.009284 0.03969696 87.72493
#> 261 2140.6694853 823.33442 10.977792 0.03939147 87.74245
#> 262 2142.7698543 820.98462 10.946462 0.03909072 87.75970
#> 263 2144.8547818 818.64686 10.915292 0.03879465 87.77667
#> 264 2146.9245000 816.32110 10.884281 0.03850317 87.79339
#> 265 2148.9792376 814.00729 10.853430 0.03821623 87.80984
#> 266 2151.0192199 811.70537 10.822738 0.03793374 87.82604
#> 267 2153.0446691 809.41529 10.792204 0.03765563 87.84198
#> 268 2155.0558040 807.13701 10.761827 0.03738185 87.85768
#> 269 2157.0528404 804.87046 10.731606 0.03711233 87.87313
#> 270 2159.0359908 802.61561 10.701541 0.03684699 87.88835
#> 271 2161.0054647 800.37239 10.671632 0.03658577 87.90332
#> 272 2162.9614685 798.14076 10.641877 0.03632861 87.91807
#> 273 2164.9042057 795.92066 10.612276 0.03607545 87.93258
#> 274 2166.8338766 793.71204 10.582827 0.03582622 87.94687
#> 275 2168.7506788 791.51485 10.553531 0.03558087 87.96094
#> 276 2170.6548067 789.32902 10.524387 0.03533932 87.97478
#> 277 2172.5464523 787.15451 10.495393 0.03510153 87.98842
#> 278 2174.4258044 784.99127 10.466550 0.03486744 88.00184
#> 279 2176.2930491 782.83923 10.437856 0.03463698 88.01505
#> 280 2178.1483700 780.69834 10.409311 0.03441011 88.02806
#> 281 2179.9919476 778.56855 10.380914 0.03418676 88.04086
#> 282 2181.8239601 776.44981 10.352664 0.03396689 88.05347
#> 283 2183.6445829 774.34205 10.324561 0.03375043 88.06588
#> 284 2185.4539887 772.24523 10.296603 0.03353733 88.07809
#> 285 2187.2523480 770.15928 10.268790 0.03332755 88.09012
#> 286 2189.0398284 768.08415 10.241122 0.03312103 88.10196
#> 287 2190.8165952 766.01979 10.213597 0.03291772 88.11361
#> 288 2192.5828113 763.96614 10.186215 0.03271756 88.12509
#> 289 2194.3386371 761.92314 10.158975 0.03252052 88.13638
#> 290 2196.0842306 759.89074 10.131876 0.03232655 88.14750
#> 291 2197.8197474 757.86888 10.104918 0.03213559 88.15845
#> 292 2199.5453411 755.85751 10.078100 0.03194759 88.16923
#> 293 2201.2611626 753.85656 10.051421 0.03176252 88.17984
#> 294 2202.9673608 751.86599 10.024880 0.03158033 88.19028
#> 295 2204.6640823 749.88574 9.998477 0.03140097 88.20056
#> 296 2206.3514717 747.91575 9.972210 0.03122440 88.21068
#> 297 2208.0296710 745.95597 9.946080 0.03105057 88.22065
#> 298 2209.6988206 744.00634 9.920084 0.03087945 88.23046
#> 299 2211.3590585 742.06680 9.894224 0.03071098 88.24011
#> 300 2213.0105207 740.13730 9.868497 0.03054514 88.24962
#> 301 2214.6533412 738.21778 9.842904 0.03038187 88.25898
#> 302 2216.2876519 736.30819 9.817443 0.03022114 88.26819
#> 303 2217.9135828 734.40847 9.792113 0.03006292 88.27726
#> 304 2219.5312620 732.51857 9.766914 0.02990715 88.28619
#> 305 2221.1408155 730.63843 9.741846 0.02975380 88.29498
#> 306 2222.7423677 728.76799 9.716907 0.02960284 88.30363
#> 307 2224.3360409 726.90720 9.692096 0.02945423 88.31215
#> 308 2225.9219555 725.05601 9.667413 0.02930792 88.32054
#> 309 2227.5002304 723.21436 9.642858 0.02916389 88.32880
#> 310 2229.0709823 721.38219 9.618429 0.02902210 88.33692
#> 311 2230.6343266 719.55946 9.594126 0.02888252 88.34492
#> 312 2232.1903767 717.74610 9.569948 0.02874511 88.35280
#> 313 2233.7392442 715.94207 9.545894 0.02860983 88.36055
#> 314 2235.2810392 714.14730 9.521964 0.02847666 88.36819
#> 315 2236.8158701 712.36174 9.498157 0.02834556 88.37570
#> 316 2238.3438437 710.58535 9.474471 0.02821649 88.38310
#> 317 2239.8650650 708.81806 9.450907 0.02808944 88.39038
#> 318 2241.3796377 707.05982 9.427464 0.02796436 88.39755
#> 319 2242.8876636 705.31059 9.404141 0.02784122 88.40461
#> 320 2244.3892433 703.57030 9.380937 0.02772000 88.41156
#> 321 2245.8844757 701.83890 9.357852 0.02760067 88.41840
#> 322 2247.3734582 700.11634 9.334885 0.02748319 88.42513
#> 323 2248.8562867 698.40257 9.312034 0.02736754 88.43176
#> 324 2250.3330558 696.69754 9.289301 0.02725368 88.43829
#> 325 2251.8038585 695.00119 9.266683 0.02714160 88.44471
#> 326 2253.2687864 693.31347 9.244180 0.02703126 88.45103
#> 327 2254.7279299 691.63433 9.221791 0.02692264 88.45726
#> 328 2256.1813778 689.96372 9.199516 0.02681570 88.46339
#> 329 2257.6292177 688.30159 9.177355 0.02671043 88.46942
#> 330 2259.0715358 686.64788 9.155305 0.02660680 88.47536
#> 331 2260.5084169 685.00255 9.133367 0.02650478 88.48121
#> 332 2261.9399448 683.36554 9.111541 0.02640434 88.48697
#> 333 2263.3662018 681.73681 9.089824 0.02630547 88.49263
#> 334 2264.7872690 680.11630 9.068217 0.02620813 88.49821
#> 335 2266.2032261 678.50396 9.046719 0.02611231 88.50370
#> 336 2267.6141519 676.89975 9.025330 0.02601798 88.50911
#> 337 2269.0201239 675.30361 9.004048 0.02592512 88.51443
#> 338 2270.4212182 673.71550 8.982873 0.02583370 88.51967
#> 339 2271.8175101 672.13536 8.961805 0.02574370 88.52483
#> 340 2273.2090734 670.56315 8.940842 0.02565510 88.52991
#> 341 2274.5959810 668.99882 8.919984 0.02556788 88.53491
#> 342 2275.9783046 667.44232 8.899231 0.02548202 88.53983
#> 343 2277.3561149 665.89360 8.878581 0.02539749 88.54467
#> 344 2278.7294813 664.35262 8.858035 0.02531428 88.54944
#> 345 2280.0984725 662.81932 8.837591 0.02523236 88.55414
#> 346 2281.4631559 661.29367 8.817249 0.02515172 88.55876
#> 347 2282.8235977 659.77561 8.797008 0.02507233 88.56331
#> 348 2284.1798636 658.26509 8.776868 0.02499417 88.56779
#> 349 2285.5320178 656.76207 8.756828 0.02491723 88.57220
#> 350 2286.8801238 655.26651 8.736887 0.02484149 88.57654
#> 351 2288.2242440 653.77836 8.717045 0.02476693 88.58081
#> 352 2289.5644400 652.29756 8.697301 0.02469352 88.58502
#> 353 2290.9007722 650.82408 8.677654 0.02462126 88.58916
#> 354 2292.2333004 649.35788 8.658105 0.02455012 88.59324
#> 355 2293.5620831 647.89889 8.638652 0.02448009 88.59725
#> 356 2294.8871783 646.44709 8.619295 0.02441115 88.60121
#> 357 2296.2086429 645.00243 8.600032 0.02434328 88.60510
#> 358 2297.5265328 643.56486 8.580865 0.02427646 88.60892
#> 359 2298.8409034 642.13433 8.561791 0.02421069 88.61269
#> 360 2300.1518089 640.71081 8.542811 0.02414594 88.61641
#> 361 2301.4593030 639.29425 8.523923 0.02408219 88.62006
#> 362 2302.7634382 637.88461 8.505128 0.02401944 88.62366
#> 363 2304.0642664 636.48184 8.486425 0.02395766 88.62720
#> 364 2305.3618389 635.08591 8.467812 0.02389684 88.63068
#> 365 2306.6562058 633.69676 8.449290 0.02383697 88.63411
#> 366 2307.9474168 632.31436 8.430858 0.02377803 88.63749
#> 367 2309.2355205 630.93867 8.412516 0.02372001 88.64082
#> 368 2310.5205650 629.56964 8.394262 0.02366289 88.64409
#> 369 2311.8025977 628.20723 8.376096 0.02360666 88.64731
#> 370 2313.0816651 626.85140 8.358019 0.02355131 88.65048
#> 371 2314.3578129 625.50211 8.340028 0.02349681 88.65361
#> 372 2315.6310865 624.15932 8.322124 0.02344316 88.65668
#> 373 2316.9015301 622.82299 8.304307 0.02339035 88.65971
#> 374 2318.1691877 621.49308 8.286574 0.02333836 88.66269
#> 375 2319.4341022 620.16955 8.268927 0.02328718 88.66562
#> 376 2320.6963162 618.85235 8.251365 0.02323679 88.66851
#> 377 2321.9558713 617.54146 8.233886 0.02318719 88.67135
#> 378 2323.2128088 616.23682 8.216491 0.02313836 88.67415
#> 379 2324.4671691 614.93840 8.199179 0.02309029 88.67691
#> 380 2325.7189921 613.64617 8.181949 0.02304296 88.67962
#> 381 2326.9683172 612.36008 8.164801 0.02299638 88.68229
#> 382 2328.2151828 611.08010 8.147735 0.02295051 88.68492
#> 383 2329.4596272 609.80619 8.130749 0.02290536 88.68750
#> 384 2330.7016878 608.53830 8.113844 0.02286092 88.69005
#> 385 2331.9414014 607.27641 8.097019 0.02281716 88.69256
#> 386 2333.1788045 606.02047 8.080273 0.02277409 88.69503
#> 387 2334.4139328 604.77045 8.063606 0.02273168 88.69746
#> 388 2335.6468216 603.52631 8.047017 0.02268994 88.69985
#> 389 2336.8775054 602.28802 8.030507 0.02264884 88.70221
#> 390 2338.1060185 601.05553 8.014074 0.02260839 88.70452
#> 391 2339.3323945 599.82882 7.997718 0.02256856 88.70681
#> 392 2340.5566664 598.60784 7.981438 0.02252935 88.70905
#> 393 2341.7788670 597.39257 7.965234 0.02249076 88.71127
#> 394 2342.9990282 596.18296 7.949106 0.02245276 88.71344
#> 395 2344.2171816 594.97898 7.933053 0.02241535 88.71559
#> 396 2345.4333584 593.78060 7.917075 0.02237853 88.71770
#> 397 2346.6475892 592.58778 7.901170 0.02234228 88.71978
#> 398 2347.8599042 591.40048 7.885340 0.02230659 88.72182
#> 399 2349.0703329 590.21868 7.869582 0.02227146 88.72383
#> 400 2350.2789047 589.04233 7.853898 0.02223687 88.72582
#> 401 2351.4856484 587.87141 7.838285 0.02220283 88.72777
#> 402 2352.6905922 586.70588 7.822745 0.02216931 88.72969
#> 403 2353.8937641 585.54571 7.807276 0.02213631 88.73158
#> 404 2355.0951916 584.39087 7.791878 0.02210383 88.73344
#> 405 2356.2949016 583.24131 7.776551 0.02207185 88.73527
#> 406 2357.4929208 582.09702 7.761294 0.02204037 88.73708
#> 407 2358.6892754 580.95795 7.746106 0.02200938 88.73885
#> 408 2359.8839913 579.82408 7.730988 0.02197887 88.74060
#> 409 2361.0770938 578.69537 7.715938 0.02194884 88.74232
#> 410 2362.2686079 577.57179 7.700957 0.02191927 88.74402
#> 411 2363.4585583 576.45331 7.686044 0.02189017 88.74569
#> 412 2364.6469693 575.33990 7.671199 0.02186151 88.74733
#> 413 2365.8338646 574.23152 7.656420 0.02183331 88.74894
#> 414 2367.0192679 573.12815 7.641709 0.02180554 88.75054
#> 415 2368.2032022 572.02976 7.627063 0.02177820 88.75210
#> 416 2369.3856904 570.93631 7.612484 0.02175129 88.75364
#> 417 2370.5667548 569.84778 7.597970 0.02172479 88.75516
#> 418 2371.7464176 568.76413 7.583522 0.02169871 88.75666
#> 419 2372.9247005 567.68534 7.569138 0.02167304 88.75813
#> 420 2374.1016248 566.61137 7.554818 0.02164776 88.75958
#> 421 2375.2772118 565.54219 7.540563 0.02162288 88.76100
#> 422 2376.4514821 564.47779 7.526370 0.02159838 88.76241
#> 423 2377.6244561 563.41812 7.512242 0.02157427 88.76379
#> 424 2378.7961541 562.36316 7.498175 0.02155053 88.76515
#> 425 2379.9665957 561.31288 7.484172 0.02152716 88.76649
#> 426 2381.1358004 560.26725 7.470230 0.02150415 88.76781
#> 427 2382.3037876 559.22624 7.456350 0.02148151 88.76911
#> 428 2383.4705759 558.18983 7.442531 0.02145921 88.77038
#> 429 2384.6361842 557.15799 7.428773 0.02143726 88.77164
#> 430 2385.8006306 556.13068 7.415076 0.02141565 88.77288
#> 431 2386.9639333 555.10789 7.401439 0.02139438 88.77410
#> 432 2388.1261099 554.08958 7.387861 0.02137344 88.77530
#> 433 2389.2871779 553.07574 7.374343 0.02135283 88.77648
#> 434 2390.4471546 552.06632 7.360884 0.02133253 88.77764
#> 435 2391.6060569 551.06130 7.347484 0.02131255 88.77879
#> 436 2392.7639014 550.06067 7.334142 0.02129289 88.77992
#> 437 2393.9207047 549.06438 7.320858 0.02127352 88.78102
#> 438 2395.0764827 548.07242 7.307632 0.02125446 88.78212
#> 439 2396.2312516 547.08476 7.294463 0.02123570 88.78319
#> 440 2397.3850269 546.10137 7.281352 0.02121723 88.78425
#> 441 2398.5378241 545.12223 7.268296 0.02119904 88.78529
#> 442 2399.6896583 544.14731 7.255298 0.02118114 88.78632
#> 443 2400.8405445 543.17659 7.242355 0.02116352 88.78733
#> 444 2401.9904974 542.21004 7.229467 0.02114617 88.78832
#> 445 2403.1395316 541.24764 7.216635 0.02112909 88.78930
#> 446 2404.2876612 540.28936 7.203858 0.02111228 88.79027
#> 447 2405.4349004 539.33518 7.191136 0.02109573 88.79121
#> 448 2406.5812629 538.38507 7.178468 0.02107943 88.79215
#> 449 2407.7267624 537.43901 7.165853 0.02106339 88.79307
#> 450 2408.8714123 536.49697 7.153293 0.02104760 88.79397
#> 451 2410.0152257 535.55894 7.140786 0.02103205 88.79486
#> 452 2411.1582157 534.62488 7.128332 0.02101675 88.79574
#> 453 2412.3003951 533.69478 7.115930 0.02100168 88.79660
#> 454 2413.4417764 532.76860 7.103581 0.02098685 88.79745
#> 455 2414.5823720 531.84634 7.091284 0.02097225 88.79829
#> 456 2415.7221942 530.92795 7.079039 0.02095788 88.79911
#> 457 2416.8612549 530.01343 7.066846 0.02094373 88.79992
#> 458 2417.9995660 529.10275 7.054703 0.02092980 88.80072
#> 459 2419.1371391 528.19588 7.042612 0.02091609 88.80151
#> 460 2420.2739857 527.29281 7.030571 0.02090259 88.80228
#> 461 2421.4101171 526.39350 7.018580 0.02088930 88.80304
#> 462 2422.5455444 525.49795 7.006639 0.02087621 88.80379
#> 463 2423.6802785 524.60612 6.994748 0.02086334 88.80453
#> 464 2424.8143302 523.71800 6.982907 0.02085066 88.80526
#> 465 2425.9477101 522.83356 6.971114 0.02083817 88.80597
#> 466 2427.0804287 521.95278 6.959370 0.02082589 88.80668
#> 467 2428.2124961 521.07564 6.947675 0.02081379 88.80737
#> 468 2429.3439226 520.20212 6.936028 0.02080188 88.80805
#> 469 2430.4747180 519.33220 6.924429 0.02079016 88.80873
#> 470 2431.6048923 518.46586 6.912878 0.02077862 88.80939
#> 471 2432.7344550 517.60308 6.901374 0.02076726 88.81004
#> 472 2433.8634156 516.74382 6.889918 0.02075607 88.81068
#> 473 2434.9917835 515.88809 6.878508 0.02074506 88.81131
#> 474 2436.1195680 515.03585 6.867145 0.02073423 88.81193
#> 475 2437.2467780 514.18708 6.855828 0.02072356 88.81254
#> 476 2438.3734225 513.34177 6.844557 0.02071305 88.81314
#> 477 2439.4995103 512.49990 6.833332 0.02070271 88.81374
#> 478 2440.6250501 511.66144 6.822152 0.02069253 88.81432
#> 479 2441.7500503 510.82637 6.811018 0.02068251 88.81490
#> 480 2442.8745193 509.99468 6.799929 0.02067264 88.81546
#> 481 2443.9984655 509.16635 6.788885 0.02066293 88.81602
#> 482 2445.1218969 508.34135 6.777885 0.02065337 88.81656
#> 483 2446.2448215 507.51967 6.766929 0.02064396 88.81710
#> 484 2447.3672472 506.70129 6.756017 0.02063469 88.81764
#> 485 2448.4891817 505.88619 6.745149 0.02062557 88.81816
#> 486 2449.6106328 505.07436 6.734325 0.02061659 88.81867
#> 487 2450.7316078 504.26576 6.723544 0.02060775 88.81918
#> 488 2451.8521143 503.46039 6.712805 0.02059905 88.81968
#> 489 2452.9721594 502.65823 6.702110 0.02059048 88.82017
#> 490 2454.0917504 501.85925 6.691457 0.02058205 88.82065
#> 491 2455.2108943 501.06345 6.680846 0.02057374 88.82113
#> 492 2456.3295981 500.27079 6.670277 0.02056557 88.82160
#> 493 2457.4478686 499.48127 6.659750 0.02055752 88.82206
#> 494 2458.5657125 498.69487 6.649265 0.02054960 88.82251
#> 495 2459.6831365 497.91157 6.638821 0.02054180 88.82296
#> 496 2460.8001471 497.13134 6.628418 0.02053413 88.82340
#> 497 2461.9167507 496.35418 6.618056 0.02052657 88.82383
#> 498 2463.0329537 495.58007 6.607734 0.02051913 88.82426
#> 499 2464.1487622 494.80899 6.597453 0.02051181 88.82468
#> 500 2465.2641825 494.04092 6.587212 0.02050460 88.82509
#> 501 2466.3792205 493.27584 6.577011 0.02049750 88.82550
#> 502 2467.4938822 492.51375 6.566850 0.02049051 88.82590
#> 503 2468.6081734 491.75462 6.556728 0.02048363 88.82629
#> 504 2469.7220999 490.99843 6.546646 0.02047686 88.82668
#> 505 2470.8356675 490.24517 6.536602 0.02047020 88.82706
#> 506 2471.9488815 489.49483 6.526598 0.02046363 88.82744
#> 507 2473.0617476 488.74738 6.516632 0.02045717 88.82781
#> 508 2474.1742711 488.00281 6.506704 0.02045081 88.82817
#> 509 2475.2864575 487.26111 6.496815 0.02044455 88.82853
#> 510 2476.3983118 486.52226 6.486963 0.02043839 88.82889
#> 511 2477.5098394 485.78624 6.477150 0.02043232 88.82923
#> 512 2478.6210452 485.05304 6.467374 0.02042635 88.82958
#> 513 2479.7319343 484.32264 6.457635 0.02042047 88.82991
#> 514 2480.8425115 483.59503 6.447934 0.02041468 88.83024
#> 515 2481.9527818 482.87019 6.438269 0.02040898 88.83057
#> 516 2483.0627499 482.14811 6.428641 0.02040337 88.83089
#> 517 2484.1724206 481.42876 6.419050 0.02039785 88.83121
#> 518 2485.2817983 480.71215 6.409495 0.02039241 88.83152
#> 519 2486.3908878 479.99824 6.399977 0.02038706 88.83183
#> 520 2487.4996934 479.28703 6.390494 0.02038179 88.83213
#> 521 2488.6082196 478.57850 6.381047 0.02037660 88.83243
#> 522 2489.7164708 477.87264 6.371635 0.02037149 88.83272
#> 523 2490.8244511 477.16944 6.362259 0.02036647 88.83301
#> 524 2491.9321649 476.46887 6.352918 0.02036152 88.83329
#> 525 2493.0396163 475.77092 6.343612 0.02035665 88.83357
#> 526 2494.1468092 475.07558 6.334341 0.02035185 88.83384
#> 527 2495.2537479 474.38284 6.325105 0.02034713 88.83411
#> 528 2496.3604362 473.69268 6.315902 0.02034248 88.83438
#> 529 2497.4668779 473.00509 6.306735 0.02033791 88.83464
#> 530 2498.5730770 472.32005 6.297601 0.02033340 88.83490
#> 531 2499.6790373 471.63755 6.288501 0.02032897 88.83516
#> 532 2500.7847623 470.95758 6.279434 0.02032460 88.83541
#> 533 2501.8902559 470.28012 6.270402 0.02032030 88.83565
#> 534 2502.9955215 469.60516 6.261402 0.02031607 88.83589
#> 535 2504.1005628 468.93269 6.252436 0.02031191 88.83613
#> 536 2505.2053832 468.26269 6.243503 0.02030781 88.83637
#> 537 2506.3099862 467.59515 6.234602 0.02030377 88.83660
#> 538 2507.4143751 466.93005 6.225734 0.02029980 88.83683
#> 539 2508.5185532 466.26739 6.216899 0.02029589 88.83705
#> 540 2509.6225239 465.60715 6.208095 0.02029204 88.83727
#> 541 2510.7262904 464.94931 6.199324 0.02028825 88.83749
#> 542 2511.8298558 464.29387 6.190585 0.02028451 88.83770
#> 543 2512.9332233 463.64082 6.181878 0.02028084 88.83791
#> 544 2514.0363960 462.99013 6.173202 0.02027722 88.83812
#> 545 2515.1393768 462.34180 6.164557 0.02027366 88.83833
#> 546 2516.2421688 461.69581 6.155944 0.02027016 88.83853
#> 547 2517.3447749 461.05216 6.147362 0.02026671 88.83872
#> 548 2518.4471980 460.41082 6.138811 0.02026331 88.83892
#> 549 2519.5494409 459.77180 6.130291 0.02025997 88.83911
#> 550 2520.6515065 459.13506 6.121801 0.02025668 88.83930
#> 551 2521.7533974 458.50062 6.113342 0.02025343 88.83948
#> 552 2522.8551165 457.86844 6.104913 0.02025024 88.83967
#> 553 2523.9566664 457.23853 6.096514 0.02024710 88.83985
#> 554 2525.0580497 456.61086 6.088145 0.02024401 88.84002
#> 555 2526.1592690 455.98543 6.079806 0.02024097 88.84020
#> 556 2527.2603268 455.36222 6.071496 0.02023797 88.84037
#> 557 2528.3612258 454.74123 6.063216 0.02023502 88.84054
#> 558 2529.4619682 454.12244 6.054966 0.02023212 88.84071
#> 559 2530.5625567 453.50583 6.046744 0.02022926 88.84087
#> 560 2531.6629935 452.89141 6.038552 0.02022645 88.84103
#> 561 2532.7632810 452.27916 6.030389 0.02022368 88.84119
#> 562 2533.8634216 451.66906 6.022254 0.02022095 88.84135
#> 563 2534.9634176 451.06111 6.014148 0.02021826 88.84150
#> 564 2536.0632711 450.45529 6.006071 0.02021562 88.84165
#> 565 2537.1629845 449.85159 5.998021 0.02021302 88.84180
#> 566 2538.2625598 449.25001 5.990000 0.02021046 88.84195
#> 567 2539.3619992 448.65053 5.982007 0.02020794 88.84209
#> 568 2540.4613049 448.05314 5.974042 0.02020545 88.84223
#> 569 2541.5604789 447.45783 5.966104 0.02020301 88.84237
#> 570 2542.6595233 446.86459 5.958195 0.02020060 88.84251
#> 571 2543.7584401 446.27341 5.950312 0.02019824 88.84265
#> 572 2544.8572312 445.68428 5.942457 0.02019590 88.84278
#> 573 2545.9558987 445.09719 5.934629 0.02019361 88.84291
#> 574 2547.0544444 444.51212 5.926828 0.02019135 88.84304
#> 575 2548.1528703 443.92907 5.919054 0.02018913 88.84317
#> 576 2549.2511781 443.34803 5.911307 0.02018694 88.84330
#> 577 2550.3493698 442.76899 5.903587 0.02018478 88.84342
#> 578 2551.4474472 442.19193 5.895892 0.02018266 88.84354
#> 579 2552.5454120 441.61685 5.888225 0.02018057 88.84366
#> 580 2553.6432660 441.04374 5.880583 0.02017851 88.84378
#> 581 2554.7410109 440.47259 5.872968 0.02017649 88.84389
#> 582 2555.8386483 439.90338 5.865378 0.02017449 88.84401
#> 583 2556.9361801 439.33611 5.857815 0.02017253 88.84412
#> 584 2558.0336078 438.77077 5.850277 0.02017060 88.84423
#> 585 2559.1309330 438.20735 5.842765 0.02016870 88.84434
#> 586 2560.2281573 437.64584 5.835278 0.02016683 88.84445
#> 587 2561.3252823 437.08623 5.827816 0.02016498 88.84455
#> 588 2562.4223096 436.52850 5.820380 0.02016317 88.84466
#> 589 2563.5192406 435.97266 5.812969 0.02016138 88.84476
#> 590 2564.6160769 435.41869 5.805583 0.02015963 88.84486
#> 591 2565.7128199 434.86658 5.798221 0.02015790 88.84496
#> 592 2566.8094711 434.31632 5.790884 0.02015619 88.84506
#> 593 2567.9060319 433.76791 5.783572 0.02015451 88.84515
#> 594 2569.0025038 433.22133 5.776284 0.02015286 88.84525
#> 595 2570.0988880 432.67658 5.769021 0.02015124 88.84534
#> 596 2571.1951860 432.13364 5.761782 0.02014964 88.84543
#> 597 2572.2913991 431.59252 5.754567 0.02014806 88.84552
#> 598 2573.3875287 431.05319 5.747376 0.02014651 88.84561
#> 599 2574.4835760 430.51565 5.740209 0.02014498 88.84570
#> 600 2575.5795422 429.97989 5.733065 0.02014348 88.84579
#> 601 2576.6754288 429.44590 5.725945 0.02014200 88.84587